Details

analyze1.4s (13.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

74×	`+-commutative_binary64`
50×	`*-commutative_binary64`
41×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
38×	`associate-/r/_binary64` `associate-/l*_binary64`
1×	`1-exp_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` `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` `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--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	97	400
1	200	400
2	325	400
3	367	400
4	383	400
5	382	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64` `+-commutative_binary64`
4×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`associate-+l+_binary64` `associate-+r+_binary64`
1×	`1-exp_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` `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` `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--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	25
1	29	25
2	41	25
3	47	25
4	49	25
5	48	25

prune2.0ms (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

14.2b

Counts

1 → 1

Compiler

Compiled 17 to 15 computations (11.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
3.8b	(/.f64 (*.f64 y z) t)
4.4b	(/.f64 (*.f64 y b) t)
11.2b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite205.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

Rules

61×	`*-un-lft-identity_binary64`
26×	`times-frac_binary64`
24×	`distribute-lft-out_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r*_binary64`
9×	`add-log-exp_binary64`
6×	`associate-/l*_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`pow1_binary64` `frac-add_binary64` `associate-/r/_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

14.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
7.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
4.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 2462 to 827 computations (66.4% saved)

series496.0ms (5.1%)

Error

2.2b

Counts

4 → 92

Calls

4 calls:

330.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
52.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
29.0ms	(/.f64 (*.f64 y z) t)
28.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 6202 to 4425 computations (28.7% saved)

simplify186.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

577×	`times-frac_binary64`
418×	`associate-/l*_binary64`
316×	`associate-/r*_binary64`
213×	`associate-r_binary64`
194×	`associate-l_binary64`
150×	`associate-*l/_binary64`
135×	`associate-*r/_binary64`
125×	`distribute-rgt-in_binary64`
106×	`distribute-lft-in_binary64`
104×	`associate--l+_binary64`
93×	`associate-/l/_binary64` `associate-/r/_binary64`
78×	`sub-neg_binary64`
75×	`+-commutative_binary64`
72×	`*-commutative_binary64`
41×	`associate-+r+_binary64`
33×	`distribute-neg-in_binary64`
32×	`sqr-pow_binary64`
29×	`log-div_binary64` `cancel-sign-sub-inv_binary64`
28×	`neg-mul-1_binary64` `neg-sub0_binary64`
24×	`unswap-sqr_binary64`
18×	`distribute-neg-frac_binary64`
13×	`associate--r+_binary64`
12×	`distribute-rgt-neg-in_binary64`
11×	`log-prod_binary64`
8×	`unpow3_binary64`
7×	`cube-mult_binary64` `distribute-lft-neg-in_binary64`
6×	`unpow2_binary64` `unpow1_binary64` `cube-unmult_binary64` `cube-div_binary64` `/-rgt-identity_binary64`
5×	`swap-sqr_binary64`
4×	`*-rgt-identity_binary64`
3×	`log-pow_binary64` `prod-exp_binary64` `exp-sum_binary64` `cube-prod_binary64` `distribute-lft-neg-out_binary64` `associate-+r-_binary64`
2×	`log-rec_binary64` `exp-prod_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-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` `unpow1/3_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` `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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

198 → 121

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	382	6855
1	1181	6639
2	4959	6639
3	4985	6639

prune136.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	111	10	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	10	122

Error

4.5b

Counts

122 → 10

Compiler

Compiled 3170 to 1259 computations (60.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(/.f64 (*.f64 y b) t)
4.4b	(/.f64 (*.f64 y b) t)
5.0b	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
10.6b	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite204.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
8×	`div-exp_binary64` `cbrt-undiv_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-l*_binary64` `distribute-lft-out_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

15.0ms	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
11.0ms	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
5.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 3039 to 1176 computations (61.3% saved)

series296.0ms (3%)

Error

1.4b

Counts

4 → 70

Calls

4 calls:

146.0ms	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
68.0ms	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
30.0ms	(/.f64 (*.f64 y b) t)
29.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 4041 to 2835 computations (29.8% saved)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

650×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
352×	`times-frac_binary64`
230×	`associate-/l*_binary64`
171×	`associate-/r*_binary64`
148×	`associate-l_binary64`
118×	`cancel-sign-sub-inv_binary64`
116×	`associate-r_binary64`
95×	`distribute-neg-frac_binary64`
94×	`distribute-rgt-neg-in_binary64`
86×	`distribute-lft-neg-in_binary64`
74×	`unswap-sqr_binary64`
72×	`*-commutative_binary64`
62×	`associate-*l/_binary64`
61×	`sub-neg_binary64`
51×	`associate-*r/_binary64`
42×	`associate-/r/_binary64`
41×	`sqr-pow_binary64`
38×	`log-div_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
30×	`distribute-neg-in_binary64`
29×	`exp-prod_binary64`
28×	`log-prod_binary64` `associate-/l/_binary64`
27×	`+-commutative_binary64`
25×	`-rgt-identity_binary64` `-lft-identity_binary64`
21×	`cube-prod_binary64` `swap-sqr_binary64`
15×	`unsub-neg_binary64`
14×	`cube-div_binary64` `/-rgt-identity_binary64`
13×	`exp-sum_binary64` `associate--r+_binary64`
10×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
8×	`associate--l+_binary64`
7×	`cube-unmult_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-rgt-out--_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
5×	`distribute-rgt-neg-out_binary64`
4×	`div-sub_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `pow-plus_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64` `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` `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` `prod-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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

159 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2848
1	527	2455
2	2398	2372
3	5063	2372

prune67.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	61	13	74

Error

3.4b

Counts

74 → 13

Compiler

Compiled 1355 to 647 computations (52.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.2b	(.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)) (cbrt.f64 t)))
4.4b	(/.f64 (*.f64 y b) t)
4.4b	(/.f64 (*.f64 y b) t)
10.6b	(/.f64 (.f64 z y) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)) (cbrt.f64 t))))

rewrite240.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

67×	`add-exp-log_binary64`
49×	`add-cbrt-cube_binary64`
31×	`prod-exp_binary64` `cbrt-unprod_binary64`
16×	`pow1_binary64`
14×	`div-exp_binary64` `cbrt-undiv_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `pow-prod-down_binary64`
7×	`times-frac_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `associate-l/_binary64` `associate-r/_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`associate-l_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

21.0ms	(/.f64 (.f64 z y) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)) (cbrt.f64 t))))
16.0ms	(.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)) (cbrt.f64 t)))
4.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 4435 to 1494 computations (66.3% saved)

series323.0ms (3.3%)

Error

2.9b

Counts

4 → 70

Calls

4 calls:

151.0ms	(/.f64 (.f64 z y) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)) (cbrt.f64 t))))
81.0ms	(.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)) (cbrt.f64 t)))
32.0ms	(/.f64 (*.f64 y b) t)
31.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 4544 to 3116 computations (31.4% saved)

simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

568×	`times-frac_binary64`
543×	`associate-/r/_binary64`
315×	`associate-/l*_binary64`
251×	`associate-/r*_binary64`
198×	`associate-l_binary64`
168×	`cancel-sign-sub-inv_binary64`
167×	`associate-r_binary64`
128×	`log-prod_binary64`
109×	`distribute-rgt-neg-in_binary64`
103×	`distribute-neg-frac_binary64`
102×	`distribute-lft-neg-in_binary64`
96×	`sub-neg_binary64` `unswap-sqr_binary64`
95×	`log-div_binary64`
91×	`*-commutative_binary64`
83×	`distribute-rgt-in_binary64`
75×	`distribute-lft-in_binary64` `associate-*l/_binary64`
64×	`associate-*r/_binary64`
61×	`distribute-neg-in_binary64`
58×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
48×	`sqr-pow_binary64`
44×	`unpow3_binary64`
35×	`+-commutative_binary64`
33×	`associate-/l/_binary64`
29×	`swap-sqr_binary64`
28×	`exp-prod_binary64`
26×	`cube-prod_binary64` `unsub-neg_binary64`
25×	`cube-div_binary64`
24×	`associate--r+_binary64`
23×	`*-rgt-identity_binary64`
21×	`div-sub_binary64`
17×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
15×	`distribute-rgt-out_binary64`
14×	`*-lft-identity_binary64` `associate-+r+_binary64`
13×	`associate-+l+_binary64`
11×	`associate--l+_binary64`
10×	`cube-unmult_binary64` `distribute-frac-neg_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`log-pow_binary64` `mul-1-neg_binary64` `distribute-neg-out_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64`
4×	`pow-plus_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
3×	`cube-mult_binary64`
2×	`log-rec_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `div0_binary64` `difference-of-sqr-1_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` `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` `prod-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-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

171 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	4620
1	689	2799
2	3036	2712
3	4822	2712
4	4974	2712

prune82.0ms (0.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	93	13	106

Error

3.4b

Counts

106 → 13

Compiler

Compiled 1813 to 807 computations (55.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
3.8b	(/.f64 (*.f64 y z) t)
4.4b	(/.f64 (*.f64 y b) t)
11.1b	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite248.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

66×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`
28×	`add-cube-cbrt_binary64`
27×	`add-exp-log_binary64`
22×	`distribute-lft-out_binary64`
21×	`add-cbrt-cube_binary64` `associate-r_binary64`
11×	`associate-/r*_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64`
6×	`prod-exp_binary64` `cbrt-undiv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `div-inv_binary64` `associate-/r/_binary64`
3×	`unswap-sqr_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `un-div-inv_binary64` `associate-r/_binary64` `-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 132

Calls

4 calls:

20.0ms	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
10.0ms	(/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
4.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 3352 to 1328 computations (60.4% saved)

series557.0ms (5.7%)

Error

3.4b

Counts

4 → 101

Calls

4 calls:

330.0ms	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
95.0ms	(/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
30.0ms	(/.f64 (*.f64 y z) t)
28.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 7574 to 5405 computations (28.6% saved)

simplify159.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

693×	`times-frac_binary64`
511×	`associate-/l*_binary64`
392×	`associate-/r*_binary64`
168×	`associate-l/_binary64` `associate-r/_binary64`
127×	`distribute-rgt-in_binary64`
118×	`distribute-lft-in_binary64`
110×	`associate-/r/_binary64`
106×	`associate-/l/_binary64`
94×	`sub-neg_binary64`
90×	`+-commutative_binary64`
86×	`*-commutative_binary64`
49×	`associate-+r+_binary64`
40×	`distribute-neg-in_binary64`
35×	`sqr-pow_binary64`
33×	`cancel-sign-sub-inv_binary64`
32×	`neg-mul-1_binary64` `neg-sub0_binary64`
24×	`unswap-sqr_binary64`
23×	`associate--l+_binary64`
21×	`associate-r_binary64`
19×	`distribute-neg-frac_binary64`
18×	`associate--r+_binary64`
15×	`associate-l_binary64`
12×	`log-div_binary64`
10×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
9×	`unpow3_binary64`
8×	`cube-mult_binary64`
7×	`cube-unmult_binary64` `cube-div_binary64` `swap-sqr_binary64` `distribute-lft-neg-in_binary64`
6×	`unpow2_binary64` `unpow1_binary64`
5×	`log-prod_binary64` `/-rgt-identity_binary64`
4×	`exp-prod_binary64`
3×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64` `associate-+r-_binary64`
2×	`exp-sum_binary64` `unsub-neg_binary64` `difference-of-squares_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `cube-prod_binary64` `div-sub_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-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` `pow-base-0_binary64` `unpow1/3_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` `e-exp-1_binary64` `exp-1-e_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

233 → 149

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	434	8363
1	1366	8078
2	5052	8078

prune145.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	149	13	162

Error

3.4b

Counts

162 → 13

Compiler

Compiled 3454 to 1388 computations (59.8% saved)

regimes3.5s (35.8%)

Accuracy

Total 4.0b remaining (60.3%)

Threshold costs 0b (0%)

Compiler

Compiled 42862 to 31539 computations (26.4% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 17 to 15 computations (11.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`1-exp_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` `exp-1-e_binary64` `exp-0_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	39	159
1	53	159
2	52	159

end2.0ms (0%)

Compiler: Compiled 106 to 51 computations (51.9% saved)

sample1.2s (12.3%)

Algorithm

1×

intervals

Results

457.0ms	8000×	body	128	valid
17.0ms	316×	body	128	invalid

Compiler

Compiled 503 to 369 computations (26.6% saved)

Details

analyze1.4s (13.8%)

sample29.0ms (0.3%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize19.0ms (0.2%)

rewrite205.0ms (2.1%)

series496.0ms (5.1%)

simplify186.0ms (1.9%)

prune136.0ms (1.4%)

localize14.0ms (0.1%)

rewrite204.0ms (2.1%)

series296.0ms (3%)

simplify97.0ms (1%)

prune67.0ms (0.7%)

localize21.0ms (0.2%)

rewrite240.0ms (2.5%)

series323.0ms (3.3%)

simplify146.0ms (1.5%)

prune82.0ms (0.8%)

localize16.0ms (0.2%)

rewrite248.0ms (2.5%)

series557.0ms (5.7%)

simplify159.0ms (1.6%)

prune145.0ms (1.5%)

regimes3.5s (35.8%)

bsearch9.0ms (0.1%)

simplify5.0ms (0.1%)

end2.0ms (0%)

sample1.2s (12.3%)

Profiling