Details

analyze2.2s (10%)

Algorithm

1×	search
2×	egg-herbie

Rules

331×	`associate-+l+_binary64`
298×	`associate-+r+_binary64`
225×	`+-commutative_binary64`
28×	`*-commutative_binary64`
1×	`swap-x-y` `swap-z-t` `swap-a-b` `swap-c-i`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	638
1	274	638
2	574	638
3	712	638
4	694	638
5	691	638
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

(sort c i)

Compiler

Compiled 16 to 16 computations (0% saved)

sample82.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
8.0ms	184×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

24×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
17×	`+-commutative_binary64`
4×	`*-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	27	22
2	47	22
3	67	22
4	67	22
5	67	22

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Compiler

Compiled 15 to 15 computations (0% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

rewrite56.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `flip-+_binary64` `+-commutative_binary64`
2×	`associate-+l+_binary64`

Counts

3 → 38

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1006 to 161 computations (84% saved)

series252.0ms (1.1%)

Error

0.0b

Counts

3 → 108

Calls

3 calls:

116.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
74.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
40.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2193 to 2266 computations (-3.3% saved)

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64`
640×	`distribute-lft-in_binary64`
475×	`associate-l_binary64`
359×	`associate-r_binary64`
277×	`associate-+l+_binary64`
242×	`sub-neg_binary64`
139×	`cancel-sign-sub-inv_binary64`
97×	`neg-mul-1_binary64`
93×	`distribute-rgt-neg-in_binary64`
84×	`unsub-neg_binary64`
74×	`neg-sub0_binary64`
72×	`distribute-lft-neg-in_binary64`
62×	`associate--r+_binary64`
54×	`*-commutative_binary64`
47×	`sqr-pow_binary64` `associate--l+_binary64`
45×	`distribute-rgt-out_binary64`
38×	`+-commutative_binary64`
34×	`associate-+r-_binary64`
24×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
22×	`distribute-neg-in_binary64`
21×	`prod-exp_binary64` `distribute-rgt-out--_binary64` `associate-+r+_binary64`
20×	`unpow3_binary64`
18×	`distribute-lft-out_binary64`
17×	`unswap-sqr_binary64`
16×	`exp-sum_binary64`
14×	`cube-mult_binary64` `cube-prod_binary64`
8×	`exp-prod_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64`
7×	`cube-unmult_binary64`
4×	`pow-sqr_binary64`
3×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

146 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	2264
1	299	2219
2	1066	2201
3	4725	2201
4	4971	2201
5	5006	2201

prune29.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Error

0.0b

Counts

90 → 4

Compiler

Compiled 828 to 181 computations (78.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))
0.5b	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y))))

rewrite116.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y))))
8.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))
8.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))
7.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))

Compiler

Compiled 6003 to 338 computations (94.4% saved)

series3.1s (14.1%)

Error

0.0b

Counts

4 → 192

Calls

4 calls:

1.2s	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y))))
592.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))
588.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))
587.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y)))

Compiler

Compiled 51760 to 29832 computations (42.4% saved)

simplify263.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

986×	`associate-/l*_binary64`
389×	`*-commutative_binary64`
145×	`associate-r_binary64`
134×	`+-commutative_binary64`
99×	`sqr-pow_binary64`
96×	`times-frac_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-r/_binary64`
84×	`associate-+r+_binary64`
83×	`distribute-rgt-out_binary64`
79×	`distribute-rgt-in_binary64`
75×	`distribute-lft-in_binary64`
68×	`exp-prod_binary64`
62×	`sub-neg_binary64`
55×	`distribute-lft-out_binary64`
52×	`neg-mul-1_binary64` `neg-sub0_binary64`
46×	`cancel-sign-sub-inv_binary64`
41×	`distribute-rgt-neg-in_binary64`
38×	`distribute-lft-neg-in_binary64`
28×	`log-prod_binary64`
20×	`associate-l_binary64`
16×	`log-div_binary64` `unpow1/3_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
12×	`unpow2_binary64` `unpow1_binary64`
11×	`distribute-lft-neg-out_binary64`
8×	`log-pow_binary64` `log-rec_binary64` `remove-double-neg_binary64`
5×	`unswap-sqr_binary64`
4×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64` `swap-sqr_binary64`
3×	`fabs-mul_binary64` `distribute-neg-in_binary64`
2×	`cube-prod_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64`

Counts

279 → 242

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	858	16402
1	2928	14962
2	5312	14962

prune187.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	240	2	242
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	240	6	246

Error

0.0b

Counts

246 → 6

Compiler

Compiled 14295 to 3324 computations (76.7% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c))))))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))

rewrite267.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

56×	`cbrt-div_binary64`
52×	`add-sqr-sqrt_binary64`
49×	`cbrt-prod_binary64`
28×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
25×	`pow1_binary64`
24×	`flip3-+_binary64` `flip-+_binary64`
19×	`pow1/3_binary64`
18×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
16×	`frac-times_binary64`
12×	`unswap-sqr_binary64`
10×	`add-exp-log_binary64`
8×	`associate-l/_binary64` `associate-r/_binary64`
6×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 161

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
15.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c))))))

Compiler

Compiled 21460 to 882 computations (95.9% saved)

series4.4s (20%)

Error

Counts

4 → 178

Calls

4 calls:

1.2s	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
1.2s	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
1.2s	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
562.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c))))))

Compiler

Compiled 85066 to 38515 computations (54.7% saved)

simplify355.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

876×	`times-frac_binary64`
804×	`associate-/l*_binary64`
334×	`*-commutative_binary64`
122×	`associate-r_binary64`
112×	`+-commutative_binary64`
95×	`distribute-rgt-in_binary64`
91×	`sqr-pow_binary64` `distribute-lft-in_binary64`
78×	`associate-/r/_binary64` `associate-/r_binary64` `associate-r/_binary64`
76×	`distribute-rgt-out_binary64`
73×	`associate-+r+_binary64`
70×	`exp-prod_binary64`
47×	`distribute-lft-out_binary64`
43×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
38×	`distribute-rgt-neg-in_binary64`
36×	`distribute-lft-neg-in_binary64`
28×	`neg-mul-1_binary64` `neg-sub0_binary64`
22×	`log-prod_binary64`
17×	`associate-l_binary64`
16×	`log-div_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
12×	`unpow2_binary64` `unpow1_binary64`
10×	`distribute-lft-neg-out_binary64`
8×	`log-pow_binary64` `log-rec_binary64` `unpow1/3_binary64` `cancel-sign-sub_binary64` `distribute-neg-in_binary64`
6×	`unswap-sqr_binary64` `swap-sqr_binary64`
5×	`cube-unmult_binary64`
4×	`unpow3_binary64` `cube-mult_binary64`
3×	`rem-3cbrt-lft_binary64` `fabs-mul_binary64`
2×	`cube-prod_binary64` `rem-3cbrt-rft_binary64` `rem-sqrt-square_binary64`
1×	`1-exp_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

339 → 318

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	735	23902
1	2457	21231
2	5690	21231

prune322.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	317	1	318
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	317	7	324

Error

Counts

324 → 7

Compiler

Compiled 35617 to 4558 computations (87.2% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
0.5b	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y))))
3.8b	(exp.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y)))))))

rewrite274.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

56×	`cbrt-div_binary64`
54×	`add-sqr-sqrt_binary64`
49×	`cbrt-prod_binary64`
30×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
26×	`pow1_binary64`
24×	`flip3-+_binary64` `flip-+_binary64`
19×	`pow1/3_binary64`
18×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
16×	`frac-times_binary64`
12×	`unswap-sqr_binary64`
10×	`add-exp-log_binary64`
8×	`log-div_binary64` `exp-diff_binary64` `associate-l/_binary64` `associate-r/_binary64`
6×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
5×	`exp-prod_binary64`
4×	`log-prod_binary64` `exp-sum_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
2×	`log-pow_binary64`
1×	`rem-exp-log_binary64`

Counts

4 → 169

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y))))
18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
8.0ms	(exp.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y)))))))

Compiler

Compiled 23060 to 1138 computations (95.1% saved)

series5.4s (24.2%)

Error

Counts

4 → 184

Calls

4 calls:

1.2s	(exp.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y)))))))
1.2s	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
1.2s	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 i c)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 i c)))))
1.2s	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 i c) (+.f64 (.f64 t z) (.f64 a b))) (*.f64 x y))))

Compiler

Compiled 91792 to 41807 computations (54.5% saved)

simplify383.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

866×	`associate-/l*_binary64`
410×	`*-commutative_binary64`
169×	`associate-r_binary64`
132×	`+-commutative_binary64`
105×	`distribute-rgt-in_binary64`
101×	`distribute-lft-in_binary64`
93×	`sqr-pow_binary64` `associate-*r/_binary64`
90×	`associate-/r/_binary64`
85×	`associate-+r+_binary64`
84×	`distribute-rgt-out_binary64`
78×	`times-frac_binary64` `associate-/r*_binary64`
74×	`exp-prod_binary64`
59×	`cancel-sign-sub-inv_binary64`
53×	`distribute-lft-out_binary64`
43×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64`
40×	`rem-exp-log_binary64`
38×	`distribute-lft-neg-in_binary64`
34×	`log-prod_binary64`
32×	`log-pow_binary64`
30×	`neg-mul-1_binary64` `neg-sub0_binary64`
20×	`associate-l_binary64`
17×	`rem-log-exp_binary64` `distribute-lft-out--_binary64`
16×	`log-div_binary64` `distribute-rgt-neg-out_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`unpow2_binary64` `unpow1_binary64`
10×	`distribute-neg-in_binary64`
8×	`log-rec_binary64` `unpow1/3_binary64` `cancel-sign-sub_binary64`
7×	`unswap-sqr_binary64`
5×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64`
4×	`prod-exp_binary64` `swap-sqr_binary64` `count-2_binary64`
3×	`rem-3cbrt-rft_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
2×	`cube-prod_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `associate--l+_binary64` `associate--r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

353 → 337

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	976	27341
1	2867	22492
2	5264	22492

prune344.0ms (1.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	337	0	337
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	337	7	344

Error

Counts

344 → 7

Compiler

Compiled 37801 to 4985 computations (86.8% saved)

regimes2.2s (9.7%)

Accuracy

Total 0.0b remaining (39.8%)

Threshold costs 0.0b (39.8%)

Compiler

Compiled 84136 to 29168 computations (65.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	23	22
2	23	22

end76.0ms (0.3%)

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 135 to 135 computations (0% saved)

sample1.6s (7.4%)

Algorithm

1×

intervals

Results

396.0ms	8000×	body	128	valid
282.0ms	5680×	body	128	invalid

Compiler

Compiled 456 to 186 computations (59.2% saved)

Details

analyze2.2s (10%)

sample82.0ms (0.4%)

simplify9.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.1%)

rewrite56.0ms (0.3%)

series252.0ms (1.1%)

simplify121.0ms (0.5%)

prune29.0ms (0.1%)

localize18.0ms (0.1%)

rewrite116.0ms (0.5%)

series3.1s (14.1%)

simplify263.0ms (1.2%)

prune187.0ms (0.8%)

localize33.0ms (0.1%)

rewrite267.0ms (1.2%)

series4.4s (20%)

simplify355.0ms (1.6%)

prune322.0ms (1.5%)

localize39.0ms (0.2%)

rewrite274.0ms (1.2%)

series5.4s (24.2%)

simplify383.0ms (1.7%)

prune344.0ms (1.5%)

regimes2.2s (9.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end76.0ms (0.3%)

sample1.6s (7.4%)

Profiling