Details

analyze829.0ms (1.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

525×	`distribute-rgt-in_binary64`
489×	`distribute-lft-in_binary64`
258×	`sub-neg_binary64`
130×	`neg-sub0_binary64`
116×	`neg-mul-1_binary64`
102×	`associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`
96×	`distribute-neg-frac_binary64`
72×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
68×	`+-commutative_binary64`
66×	`distribute-neg-in_binary64`
63×	`sqr-pow_binary64` `associate-l_binary64` `associate-r_binary64`
60×	`cancel-sign-sub-inv_binary64`
54×	`exp-prod_binary64` `div-sub_binary64`
48×	`unsub-neg_binary64`
45×	`distribute-lft-neg-in_binary64`
39×	`distribute-rgt-neg-in_binary64` `associate--r-_binary64`
28×	`associate-+l-_binary64` `associate-+r-_binary64`
25×	`sub0-neg_binary64`
21×	`associate--l-_binary64`
18×	`pow-sqr_binary64` `difference-of-sqr--1_binary64` `associate-/l*_binary64`
14×	`associate-+l+_binary64` `associate-+r+_binary64`
12×	`remove-double-neg_binary64`
9×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `associate-/l/_binary64`
6×	`+-rgt-identity_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` `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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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` `mul-1-neg_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-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_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` `count-2_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--l+_binary64` `associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	161
1	242	161
2	684	161
3	1838	161
4	5154	161
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample27.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms	246×	body	128	valid
1.0ms	31×	body	128	invalid
1.0ms	4×	body	1024	valid
1.0ms	4×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

441×	`div-sub_binary64`
396×	`distribute-rgt-in_binary64`
366×	`distribute-lft-in_binary64`
260×	`associate-l_binary64`
256×	`associate-r_binary64`
222×	`associate-+r+_binary64`
176×	`associate-*l/_binary64` `associate-+l+_binary64`
173×	`associate-*r/_binary64`
163×	`associate-/l*_binary64`
138×	`sub-neg_binary64`
133×	`associate--r+_binary64`
114×	`times-frac_binary64`
84×	`associate--l+_binary64`
79×	`associate-+r-_binary64`
75×	`distribute-lft-neg-out_binary64`
69×	`distribute-rgt-neg-out_binary64`
64×	`distribute-neg-in_binary64`
62×	`associate--r-_binary64`
56×	`neg-sub0_binary64`
53×	`cancel-sign-sub-inv_binary64` `*-commutative_binary64`
51×	`neg-mul-1_binary64` `associate-+l-_binary64`
40×	`+-commutative_binary64`
36×	`associate--l-_binary64`
32×	`associate-/r*_binary64`
31×	`distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
28×	`sqr-pow_binary64`
27×	`unsub-neg_binary64` `associate-/r/_binary64`
25×	`distribute-lft-neg-in_binary64`
18×	`exp-prod_binary64`
12×	`pow-sqr_binary64`
11×	`sub0-neg_binary64`
8×	`prod-exp_binary64` `associate-/l/_binary64`
6×	`unpow3_binary64` `rec-exp_binary64` `exp-diff_binary64` `cube-unmult_binary64` `cube-prod_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `distribute-frac-neg_binary64`
4×	`exp-sum_binary64` `div0_binary64` `difference-of-sqr-1_binary64`
3×	`div-exp_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
2×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64` `count-2_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `swap-sqr_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` `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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	55	23
2	148	23
3	349	23
4	1247	23
5	4605	23
6	4879	23
7	5155	23

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

3.3b

Counts

1 → 1

Compiler

Compiled 15 to 12 computations (20% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
3.4b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite168.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

1.7b

Rules

18×	`frac-sub_binary64`
15×	`cancel-sign-sub-inv_binary64`
14×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
13×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64`
11×	`associate-*r/_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
5×	`sub-neg_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`associate-l_binary64` `*-commutative_binary64` `diff-log_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

12.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3045 to 811 computations (73.4% saved)

series631.0ms (1.2%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

236.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
211.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
109.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
29.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 5960 to 4121 computations (30.9% saved)

simplify211.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

349×	`times-frac_binary64`
260×	`cancel-sign-sub-inv_binary64`
242×	`associate-l_binary64`
237×	`sub-neg_binary64`
229×	`distribute-rgt-in_binary64`
224×	`distribute-lft-in_binary64`
215×	`associate-r_binary64`
208×	`*-commutative_binary64`
139×	`exp-prod_binary64`
121×	`+-commutative_binary64`
110×	`distribute-neg-in_binary64` `associate--l+_binary64`
84×	`neg-sub0_binary64`
77×	`neg-mul-1_binary64`
73×	`distribute-neg-frac_binary64`
62×	`sqr-pow_binary64`
59×	`unsub-neg_binary64`
53×	`unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r+_binary64`
51×	`associate-/l*_binary64` `associate-+l+_binary64`
50×	`-rgt-identity_binary64` `-lft-identity_binary64`
49×	`log-prod_binary64`
45×	`distribute-rgt-neg-in_binary64`
36×	`cube-prod_binary64`
35×	`prod-exp_binary64`
27×	`distribute-lft-neg-in_binary64`
26×	`unpow3_binary64`
24×	`associate-/r*_binary64`
22×	`distribute-lft-neg-out_binary64`
20×	`div-sub_binary64`
19×	`cube-mult_binary64`
17×	`associate-+r+_binary64`
16×	`mul-1-neg_binary64` `swap-sqr_binary64`
12×	`associate-/r/_binary64`
11×	`exp-diff_binary64`
10×	`exp-sum_binary64`
9×	`distribute-rgt-neg-out_binary64`
6×	`cube-div_binary64`
5×	`pow-sqr_binary64`
4×	`log-div_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
3×	`unpow1_binary64` `cube-unmult_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
2×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `log-pow_binary64` `unpow1/2_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `distribute-neg-out_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` `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-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64`

Counts

153 → 118

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	6327
1	931	5859
2	3362	5859
3	4961	5859
4	5083	5859

prune88.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	4	119

Error

0.0b

Counts

119 → 4

Compiler

Compiled 2974 to 1140 computations (61.7% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (+.f64 x (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
3.4b	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.4b	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.4b	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite200.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-sqr-sqrt_binary64` `associate-*r/_binary64`
27×	`*-un-lft-identity_binary64` `frac-sub_binary64`
26×	`pow1_binary64`
21×	`add-exp-log_binary64` `add-cube-cbrt_binary64` `associate-r_binary64`
19×	`add-cbrt-cube_binary64`
18×	`cancel-sign-sub-inv_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64`
16×	`cbrt-prod_binary64`
12×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `cbrt-div_binary64`
11×	`pow-prod-down_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64`
9×	`associate-l_binary64`
6×	`sub-neg_binary64` `pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `swap-sqr_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64` `frac-times_binary64` `unswap-sqr_binary64`
3×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`pow2_binary64` `pow-plus_binary64`

Counts

4 → 165

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (+.f64 x (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
13.0ms	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
13.0ms	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
12.0ms	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Compiler

Compiled 11031 to 1374 computations (87.5% saved)

series1.8s (3.3%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

1.1s	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (+.f64 x (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
227.0ms	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
226.0ms	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
222.0ms	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Compiler

Compiled 21102 to 12430 computations (41.1% saved)

simplify355.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

369×	`associate-l_binary64`
339×	`associate-r_binary64`
276×	`*-commutative_binary64`
218×	`sub-neg_binary64`
166×	`distribute-rgt-in_binary64`
157×	`distribute-lft-in_binary64`
126×	`times-frac_binary64`
121×	`sqr-pow_binary64`
114×	`associate-/l*_binary64`
107×	`neg-sub0_binary64`
106×	`+-commutative_binary64`
103×	`neg-mul-1_binary64`
99×	`associate-*r/_binary64`
85×	`associate--l+_binary64`
84×	`associate-/r*_binary64`
81×	`cancel-sign-sub-inv_binary64`
76×	`associate-*l/_binary64`
63×	`unsub-neg_binary64` `*-lft-identity_binary64`
62×	`log-prod_binary64`
61×	`*-rgt-identity_binary64`
52×	`exp-prod_binary64`
51×	`distribute-rgt-neg-in_binary64`
46×	`associate-+l+_binary64`
42×	`associate--r+_binary64`
39×	`cube-prod_binary64`
34×	`distribute-lft-neg-in_binary64`
28×	`distribute-neg-in_binary64`
23×	`distribute-lft-neg-out_binary64`
22×	`prod-exp_binary64`
20×	`unpow3_binary64`
19×	`associate-/r/_binary64`
18×	`cube-mult_binary64` `div-sub_binary64`
14×	`log-pow_binary64` `exp-sum_binary64`
13×	`distribute-neg-frac_binary64`
12×	`pow-sqr_binary64`
11×	`mul-1-neg_binary64` `distribute-rgt-neg-out_binary64`
10×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
9×	`unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `swap-sqr_binary64`
6×	`pow-plus_binary64` `cube-unmult_binary64` `cube-div_binary64` `unswap-sqr_binary64`
4×	`exp-diff_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
3×	`rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64`
2×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `log-div_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `count-2_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` `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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_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`

Counts

234 → 215

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	13815
1	1142	11882
2	4385	11455
3	4973	11455
4	4971	11455

prune145.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	215	4	219

Error

0.0b

Counts

219 → 4

Compiler

Compiled 10686 to 2627 computations (75.4% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y)))
0.1b	(pow.f64 (tanh.f64 (/.f64 t y)) 3)
3.8b	(.f64 (.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
8.4b	(/.f64 (.f64 (.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (+.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (+.f64 (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

rewrite40.0s (73.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6780×	`frac-add_binary64`
6102×	`frac-times_binary64`
5437×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64`
3407×	`associate-/r/_binary64`
2056×	`associate-*r/_binary64`
2034×	`associate-*l/_binary64`
46×	`add-sqr-sqrt_binary64`
39×	`cube-div_binary64`
30×	`*-un-lft-identity_binary64`
28×	`associate-r_binary64`
24×	`cancel-sign-sub-inv_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
20×	`add-cube-cbrt_binary64`
18×	`frac-sub_binary64`
17×	`pow1_binary64`
16×	`flip3-+_binary64` `flip-+_binary64` `difference-of-squares_binary64`
13×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
11×	`associate-/l/_binary64` `sqr-pow_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `pow-prod-down_binary64` `associate-l_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `associate-/r*_binary64` `unpow3_binary64` `cube-mult_binary64` `pow-unpow_binary64` `swap-sqr_binary64`
2×	`flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `difference-cubes_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `unswap-sqr_binary64`

Counts

4 → 3584

Calls

4 calls:

326.0ms	(/.f64 (.f64 (.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (+.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (+.f64 (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
23.0ms	(.f64 (.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
7.0ms	(*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y)))
4.0ms	(pow.f64 (tanh.f64 (/.f64 t y)) 3)

Compiler

Compiled 674810 to 284278 computations (57.9% saved)

series2.9s (5.4%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

2.1s	(/.f64 (.f64 (.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (+.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (+.f64 (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
621.0ms	(.f64 (.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
44.0ms	(pow.f64 (tanh.f64 (/.f64 t y)) 3)
40.0ms	(*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y)))

Compiler

Compiled 19263 to 12795 computations (33.6% saved)

simplify5.2s (9.5%)

Algorithm

1×	egg-herbie

Rules

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 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 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64 +-commutative_binary64

Counts

3626 → 27

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13702	805320

prune18.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	27	4	31

Error

0.0b

Counts

31 → 4

Compiler

Compiled 878 to 218 computations (75.2% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 z (-.f64 t x)))
0.0b	(*.f64 z (-.f64 t x))

rewrite47.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64` `cancel-sign-sub-inv_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `sub-neg_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 z (-.f64 t x))
4.0ms	(+.f64 x (*.f64 z (-.f64 t x)))

Compiler

Compiled 655 to 183 computations (72.1% saved)

series68.0ms (0.1%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

33.0ms	(+.f64 x (*.f64 z (-.f64 t x)))
25.0ms	(*.f64 z (-.f64 t x))

Compiler

Compiled 457 to 408 computations (10.7% saved)

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

492×	`neg-mul-1_binary64`
383×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`
268×	`distribute-rgt-neg-out_binary64`
262×	`exp-prod_binary64`
255×	`unsub-neg_binary64`
240×	`distribute-lft-neg-out_binary64`
191×	`*-commutative_binary64`
147×	`times-frac_binary64`
146×	`associate--r+_binary64`
144×	`cancel-sign-sub-inv_binary64`
129×	`distribute-rgt-neg-in_binary64`
123×	`distribute-neg-in_binary64`
114×	`associate--l+_binary64`
99×	`exp-sum_binary64` `sub-neg_binary64`
88×	`neg-sub0_binary64`
86×	`distribute-lft-neg-in_binary64`
85×	`associate-l_binary64`
80×	`distribute-rgt-out_binary64`
78×	`exp-diff_binary64`
74×	`associate-+l-_binary64`
72×	`associate-r_binary64`
69×	`associate-+r-_binary64`
63×	`sqr-pow_binary64` `associate-+l+_binary64`
54×	`cube-prod_binary64`
53×	`div-sub_binary64`
50×	`associate-+r+_binary64`
48×	`distribute-rgt-out--_binary64`
40×	`swap-sqr_binary64`
38×	`+-commutative_binary64`
37×	`*-lft-identity_binary64`
34×	`log-prod_binary64` `*-rgt-identity_binary64`
24×	`remove-double-neg_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64` `unswap-sqr_binary64`
17×	`sqr-neg_binary64`
14×	`associate--r-_binary64`
12×	`+-rgt-identity_binary64`
11×	`cube-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`
10×	`unpow3_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `associate--l-_binary64`
9×	`exp-neg_binary64`
7×	`cube-unmult_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64`
6×	`mul-1-neg_binary64` `pow-sqr_binary64`
5×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
4×	`cube-mult_binary64` `distribute-lft1-in_binary64`
3×	`cancel-sign-sub_binary64` `associate-*r/_binary64`
2×	`associate-*l/_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `count-2_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `+-lft-identity_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` `associate-/r/_binary64` `associate-/r_binary64`

Counts

82 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	785
1	243	764
2	748	764
3	2264	764
4	4309	764
5	5278	764

prune20.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	56	4	60

Error

0.0b

Counts

60 → 4

Compiler

Compiled 344 to 106 computations (69.2% saved)

regimes675.0ms (1.2%)

Accuracy

Total 1.6b remaining (89.4%)

Threshold costs 0b (0%)

Compiler

Compiled 11186 to 6065 computations (45.8% saved)

bsearch5.0ms (0%)

Compiler: Compiled 15 to 12 computations (20% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64` `+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_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` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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	23	61
1	35	61
2	43	61
3	47	61
4	49	61
5	49	61

end1.0ms (0%)

Compiler: Compiled 40 to 21 computations (47.5% saved)

sample953.0ms (1.7%)

Algorithm

1×

intervals

Results

393.0ms	7780×	body	128	valid
32.0ms	599×	body	128	invalid
15.0ms	79×	body	1024	valid
12.0ms	87×	body	512	valid
5.0ms	54×	body	256	valid

Compiler

Compiled 195 to 121 computations (37.9% saved)

Details

analyze829.0ms (1.5%)

sample27.0ms (0.1%)

simplify62.0ms (0.1%)

prune2.0ms (0%)

localize12.0ms (0%)

rewrite168.0ms (0.3%)

series631.0ms (1.2%)

simplify211.0ms (0.4%)

prune88.0ms (0.2%)

localize18.0ms (0%)

rewrite200.0ms (0.4%)

series1.8s (3.3%)

simplify355.0ms (0.6%)

prune145.0ms (0.3%)

localize21.0ms (0%)

rewrite40.0s (73.3%)

series2.9s (5.4%)

simplify5.2s (9.5%)

prune18.0ms (0%)

localize5.0ms (0%)

rewrite47.0ms (0.1%)

series68.0ms (0.1%)

simplify86.0ms (0.2%)

prune20.0ms (0%)

regimes675.0ms (1.2%)

bsearch5.0ms (0%)

simplify5.0ms (0%)

end1.0ms (0%)

sample953.0ms (1.7%)

Profiling