Details

analyze636.0ms (11.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

11×	`*-commutative_binary64`
10×	`+-commutative_binary64`
4×	`distribute-lft-out_binary64` `associate-+l+_binary64`
2×	`distribute-rgt-out_binary64`
1×	`swap-x-y` `swap-x-z`
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-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` `associate-+r+_binary64` `swap-y-z`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	36	72
2	40	72
3	38	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

Symmetry

(sort x y z)

Compiler

Compiled 15 to 12 computations (20% saved)

sample48.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
3.0ms	75×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64` `+-commutative_binary64`
5×	`distribute-rgt-out_binary64`
3×	`associate-+l+_binary64` `associate-+r+_binary64`
1×	`distribute-lft-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` `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-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 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	22	18
2	32	18
3	38	18
4	38	18
5	38	18

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

21.8b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
1.2b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
20.6b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite97.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

21.8b

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `sqrt-prod_binary64` `associate-l_binary64`
2×	`sqrt-div_binary64` `distribute-rgt-in_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

6.0ms	(*.f64 x (+.f64 y z))
6.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

Compiler

Compiled 974 to 297 computations (69.5% saved)

series135.0ms (2.5%)

Error

21.3b

Counts

3 → 46

Calls

3 calls:

53.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
39.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
26.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 1589 to 1211 computations (23.8% saved)

simplify124.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

521×	`distribute-rgt-in_binary64`
512×	`cancel-sign-sub-inv_binary64`
490×	`distribute-lft-in_binary64`
301×	`*-commutative_binary64`
211×	`sub-neg_binary64`
202×	`times-frac_binary64`
167×	`distribute-rgt-neg-in_binary64`
157×	`distribute-rgt-out_binary64`
143×	`unsub-neg_binary64`
141×	`neg-mul-1_binary64`
137×	`associate-+l+_binary64`
136×	`neg-sub0_binary64`
135×	`distribute-lft-neg-in_binary64`
127×	`associate-+r+_binary64`
125×	`associate-l_binary64`
116×	`unswap-sqr_binary64`
115×	`associate-*l/_binary64`
112×	`associate-r_binary64`
98×	`distribute-neg-in_binary64`
67×	`associate--r+_binary64`
64×	`sqr-pow_binary64` `+-commutative_binary64`
59×	`associate--l+_binary64`
51×	`associate-/r*_binary64`
42×	`exp-prod_binary64` `associate-*r/_binary64`
39×	`associate-/l*_binary64`
38×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
37×	`*-lft-identity_binary64`
35×	`distribute-lft-out_binary64`
34×	`distribute-lft-neg-out_binary64`
31×	`pow-sqr_binary64`
21×	`exp-sum_binary64`
17×	`log-prod_binary64`
16×	`swap-sqr_binary64` `associate-/l/_binary64`
14×	`cube-prod_binary64` `associate-+r-_binary64`
13×	`unpow3_binary64` `+-rgt-identity_binary64` `associate-/r/_binary64`
12×	`cube-div_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64`
8×	`/-rgt-identity_binary64` `distribute-lft-out--_binary64`
7×	`cube-mult_binary64`
6×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
5×	`unpow1/2_binary64` `div-sub_binary64` `sub0-neg_binary64`
4×	`log-pow_binary64` `difference-of-squares_binary64`
3×	`pow-plus_binary64` `fabs-mul_binary64` `count-2_binary64`
2×	`log-div_binary64` `unpow2_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `associate--l-_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `rem-square-sqrt_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_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` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`

Counts

97 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	1355
1	368	1313
2	1113	1277
3	3185	1271
4	4453	1271
5	4978	1271
6	4940	1271

prune70.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	63	12	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	12	76

Error

21.3b

Counts

76 → 12

Compiler

Compiled 1058 to 441 computations (58.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
1.2b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z))
20.6b	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z)))

rewrite101.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

21.3b

Rules

8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sqrt-prod_binary64`
2×	`flip3-+_binary64` `sqrt-div_binary64` `flip-+_binary64` `pow1/3_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 48

Calls

4 calls:

13.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z)))
12.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1417 to 311 computations (78.1% saved)

series171.0ms (3.2%)

Error

21.3b

Counts

4 → 37

Calls

4 calls:

65.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z)))
53.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z))
17.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)

Compiler

Compiled 1704 to 1294 computations (24.1% saved)

simplify109.0ms (2%)

Algorithm

1×	egg-herbie

Rules

480×	`times-frac_binary64`
370×	`*-commutative_binary64`
348×	`distribute-rgt-in_binary64`
332×	`distribute-lft-in_binary64`
290×	`exp-prod_binary64`
216×	`cancel-sign-sub-inv_binary64`
180×	`unswap-sqr_binary64`
169×	`sub-neg_binary64`
157×	`distribute-neg-in_binary64`
133×	`associate-l_binary64`
129×	`associate-r_binary64`
126×	`distribute-rgt-neg-in_binary64`
113×	`distribute-lft-neg-in_binary64`
97×	`sqr-pow_binary64`
95×	`log-prod_binary64`
88×	`neg-sub0_binary64`
83×	`neg-mul-1_binary64`
66×	`cube-prod_binary64`
62×	`distribute-rgt-out_binary64`
57×	`+-commutative_binary64`
55×	`unsub-neg_binary64`
52×	`associate--r+_binary64`
50×	`associate-+l+_binary64`
49×	`cancel-sign-sub_binary64`
46×	`associate-/r*_binary64` `associate--l+_binary64`
42×	`swap-sqr_binary64`
38×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`exp-sum_binary64`
29×	`div-sub_binary64` `distribute-frac-neg_binary64`
28×	`unpow3_binary64`
26×	`distribute-lft-neg-out_binary64` `associate-/l*_binary64`
16×	`exp-diff_binary64`
15×	`pow-sqr_binary64`
14×	`log-pow_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
13×	`associate-+l-_binary64`
12×	`pow-plus_binary64` `associate-+r-_binary64`
10×	`remove-double-neg_binary64` `+-rgt-identity_binary64`
9×	`distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`
8×	`fabs-mul_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
7×	`cube-neg_binary64` `sqr-neg_binary64`
5×	`cube-unmult_binary64` `mul-1-neg_binary64` `sub0-neg_binary64`
4×	`associate-/r/_binary64`
3×	`unpow2_binary64` `fabs-sqr_binary64`
2×	`unpow1/3_binary64` `exp-neg_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_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-rec_binary64` `log-div_binary64` `pow-base-0_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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

85 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1707
1	358	1159
2	1101	1118
3	2943	1118
4	4814	1118
5	4999	1118

prune45.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	58	12	70

Error

21.3b

Counts

70 → 12

Compiler

Compiled 935 to 394 computations (57.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
1.4b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
20.6b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
20.6b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

rewrite101.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

21.3b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `sqrt-div_binary64` `flip-+_binary64` `associate-+r+_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 1914 to 333 computations (82.6% saved)

series225.0ms (4.2%)

Error

21.3b

Counts

4 → 60

Calls

4 calls:

53.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
52.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
45.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
43.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))

Compiler

Compiled 3820 to 2544 computations (33.4% saved)

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

439×	`associate-l_binary64`
418×	`distribute-rgt-in_binary64`
412×	`distribute-rgt-out_binary64`
395×	`distribute-lft-in_binary64`
363×	`associate-r_binary64`
241×	`distribute-lft-out_binary64`
211×	`distribute-rgt-neg-in_binary64`
191×	`distribute-lft-neg-in_binary64`
163×	`sub-neg_binary64`
148×	`*-commutative_binary64`
137×	`cancel-sign-sub-inv_binary64`
122×	`unswap-sqr_binary64`
100×	`distribute-neg-in_binary64`
90×	`associate-+l+_binary64`
88×	`distribute-rgt-out--_binary64`
70×	`associate-+r+_binary64`
66×	`unsub-neg_binary64`
61×	`distribute-lft-neg-out_binary64`
59×	`associate--r+_binary64`
55×	`associate--l+_binary64`
53×	`neg-sub0_binary64` `sqr-pow_binary64`
50×	`+-commutative_binary64`
47×	`neg-mul-1_binary64` `distribute-lft-out--_binary64`
39×	`distribute-rgt-neg-out_binary64`
22×	`swap-sqr_binary64`
21×	`exp-prod_binary64`
17×	`associate-/r*_binary64`
12×	`exp-sum_binary64`
11×	`associate-+l-_binary64`
10×	`associate-+r-_binary64`
9×	`+-rgt-identity_binary64` `pow-sqr_binary64`
8×	`cube-prod_binary64`
7×	`unpow3_binary64` `cube-unmult_binary64`
6×	`cube-mult_binary64`
4×	`sub0-neg_binary64`
3×	`pow-plus_binary64` `prod-exp_binary64` `rem-sqrt-square_binary64`
2×	`difference-of-squares_binary64` `associate-/l*_binary64` `associate--l-_binary64`
1×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-square-sqrt_binary64` `count-2_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` `pow-base-0_binary64` `unpow1/3_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` `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-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` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_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` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

116 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	2020
1	265	1942
2	814	1888
3	2991	1876
4	5103	1876

prune84.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	78	12	90

Error

21.3b

Counts

90 → 12

Compiler

Compiled 1952 to 510 computations (73.9% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.4b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
20.6b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
21.2b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
21.2b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

rewrite121.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

21.3b

Rules

8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `cbrt-div_binary64` `flip-+_binary64`
3×	`sqrt-prod_binary64`
2×	`pow1/3_binary64` `sqrt-div_binary64` `associate-+r+_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`

Counts

4 → 54

Calls

4 calls:

4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

Compiler

Compiled 2628 to 434 computations (83.5% saved)

series303.0ms (5.6%)

Error

21.3b

Counts

4 → 56

Calls

4 calls:

75.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
69.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
55.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
47.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))

Compiler

Compiled 6620 to 3765 computations (43.1% saved)

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

530×	`times-frac_binary64`
513×	`distribute-rgt-in_binary64`
483×	`distribute-lft-in_binary64`
176×	`cancel-sign-sub-inv_binary64`
118×	`associate-r_binary64`
107×	`associate-l_binary64`
94×	`unswap-sqr_binary64`
91×	`*-commutative_binary64`
86×	`distribute-rgt-neg-in_binary64`
80×	`distribute-lft-neg-in_binary64`
79×	`sub-neg_binary64`
75×	`sqr-pow_binary64`
56×	`distribute-neg-in_binary64`
51×	`distribute-rgt-out_binary64`
45×	`+-commutative_binary64`
40×	`exp-sum_binary64`
38×	`neg-mul-1_binary64` `neg-sub0_binary64`
30×	`associate-/r*_binary64`
29×	`exp-prod_binary64` `associate-/l*_binary64`
22×	`distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
17×	`unsub-neg_binary64` `distribute-neg-frac_binary64`
15×	`associate-*r/_binary64`
14×	`log-prod_binary64` `associate-+l+_binary64`
13×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
12×	`associate-*l/_binary64` `associate--l+_binary64`
11×	`unpow1/3_binary64` `swap-sqr_binary64` `associate-+r+_binary64`
10×	`pow-sqr_binary64`
8×	`unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64`
6×	`log-div_binary64` `exp-diff_binary64` `div-sub_binary64` `associate--r-_binary64`
5×	`log-pow_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64`
3×	`log-rec_binary64` `remove-double-neg_binary64` `associate-/r/_binary64`
2×	`pow-plus_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_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` `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-neg_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-3cbrt-rft_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` `mul-1-neg_binary64` `/-rgt-identity_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Counts

110 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2504
1	506	2433
2	1572	2380
3	4968	2380

prune119.0ms (2.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	91	14	105

Error

21.3b

Counts

105 → 14

Compiler

Compiled 3486 to 733 computations (79% saved)

regimes890.0ms (16.5%)

Accuracy

Total 0.9b remaining (4.7%)

Threshold costs 0.9b (4.7%)

Compiler

Compiled 14755 to 8779 computations (40.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-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	11	18
1	16	18
2	16	18

end13.0ms (0.2%)

Compiler: Compiled 36 to 30 computations (16.7% saved)

sample1.8s (32.5%)

Algorithm

1×

intervals

Results

368.0ms	8000×	body	128	valid
105.0ms	2351×	body	128	nan

Compiler

Compiled 474 to 307 computations (35.2% saved)

Details

analyze636.0ms (11.8%)

sample48.0ms (0.9%)

simplify10.0ms (0.2%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite97.0ms (1.8%)

series135.0ms (2.5%)

simplify124.0ms (2.3%)

prune70.0ms (1.3%)

localize12.0ms (0.2%)

rewrite101.0ms (1.9%)

series171.0ms (3.2%)

simplify109.0ms (2%)

prune45.0ms (0.8%)

localize11.0ms (0.2%)

rewrite101.0ms (1.9%)

series225.0ms (4.2%)

simplify97.0ms (1.8%)

prune84.0ms (1.6%)

localize24.0ms (0.4%)

rewrite121.0ms (2.2%)

series303.0ms (5.6%)

simplify83.0ms (1.5%)

prune119.0ms (2.2%)

regimes890.0ms (16.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end13.0ms (0.2%)

sample1.8s (32.5%)

Profiling