Details

analyze860.0ms (15.2%)

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)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	250×	body	128	valid
1.0ms	12×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify61.0ms (1.1%)

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

5.5b

Counts

1 → 1

Compiler

Compiled 15 to 12 computations (20% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
6.4b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite142.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

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

Counts

4 → 84

Calls

4 calls:

13.0ms	(.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)))
7.0ms	(tanh.f64 (/.f64 t y))
2.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 2727 to 823 computations (69.8% saved)

series413.0ms (7.3%)

Error

0.7b

Counts

4 → 39

Calls

4 calls:

227.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
98.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
30.0ms	(tanh.f64 (/.f64 x y))
28.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3533 to 2547 computations (27.9% saved)

simplify119.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

412×	`associate-*l/_binary64`
260×	`associate-/l*_binary64`
229×	`associate-l_binary64`
223×	`times-frac_binary64`
209×	`distribute-rgt-in_binary64`
208×	`distribute-lft-in_binary64`
193×	`*-commutative_binary64`
186×	`associate-r_binary64`
144×	`associate-/r*_binary64`
140×	`sub-neg_binary64`
117×	`distribute-lft-neg-out_binary64`
104×	`distribute-rgt-neg-out_binary64`
83×	`distribute-neg-in_binary64`
81×	`cancel-sign-sub-inv_binary64`
66×	`+-commutative_binary64`
63×	`neg-sub0_binary64`
60×	`distribute-neg-frac_binary64`
58×	`neg-mul-1_binary64`
57×	`distribute-rgt-neg-in_binary64`
54×	`sqr-pow_binary64`
51×	`associate-*r/_binary64`
50×	`associate-/r/_binary64`
49×	`*-rgt-identity_binary64`
48×	`*-lft-identity_binary64`
45×	`exp-prod_binary64`
42×	`unsub-neg_binary64`
40×	`associate--l+_binary64`
39×	`distribute-lft-neg-in_binary64`
36×	`unswap-sqr_binary64`
34×	`log-prod_binary64` `prod-exp_binary64`
29×	`associate-+l+_binary64`
28×	`cube-prod_binary64`
24×	`exp-sum_binary64`
21×	`div-sub_binary64`
20×	`associate--r+_binary64`
17×	`associate-/l/_binary64`
16×	`unpow3_binary64` `cube-mult_binary64`
15×	`exp-diff_binary64` `swap-sqr_binary64`
13×	`mul-1-neg_binary64`
6×	`log-div_binary64` `cube-div_binary64` `distribute-rgt-out_binary64`
5×	`cube-unmult_binary64` `pow-sqr_binary64` `associate-+r+_binary64`
4×	`difference-of-sqr--1_binary64` `associate-+r-_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
2×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `associate--r-_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_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` `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` `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` `count-2_binary64`

Counts

123 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	5011
1	740	3427
2	2664	3275
3	5219	3275

prune84.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Error

0.2b

Counts

90 → 5

Compiler

Compiled 2136 to 850 computations (60.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
0.0b	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
3.1b	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite181.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

33×	`associate-*r/_binary64`
20×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
18×	`cancel-sign-sub-inv_binary64` `frac-sub_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
14×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sub-neg_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 104

Calls

4 calls:

16.0ms	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms	(tanh.f64 (/.f64 t y))
2.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 3182 to 957 computations (69.9% saved)

series431.0ms (7.6%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

226.0ms	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
120.0ms	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
31.0ms	(tanh.f64 (/.f64 x y))
28.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3402 to 2475 computations (27.2% saved)

simplify128.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

424×	`associate-*l/_binary64`
267×	`associate-/l*_binary64`
262×	`times-frac_binary64`
234×	`associate-l_binary64`
225×	`associate-r_binary64`
165×	`*-commutative_binary64`
141×	`distribute-lft-neg-out_binary64`
138×	`distribute-rgt-in_binary64`
136×	`distribute-lft-in_binary64`
134×	`sub-neg_binary64`
125×	`distribute-rgt-neg-out_binary64`
121×	`associate-/r*_binary64`
83×	`distribute-neg-in_binary64`
79×	`cancel-sign-sub-inv_binary64`
68×	`neg-sub0_binary64`
62×	`neg-mul-1_binary64`
61×	`+-commutative_binary64`
60×	`distribute-neg-frac_binary64`
56×	`sqr-pow_binary64`
55×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64` `associate-/r/_binary64`
53×	`*-lft-identity_binary64`
46×	`unsub-neg_binary64`
44×	`associate-*r/_binary64`
42×	`exp-prod_binary64`
39×	`associate--l+_binary64`
36×	`distribute-lft-neg-in_binary64`
35×	`unswap-sqr_binary64`
28×	`log-prod_binary64` `associate-+l+_binary64`
26×	`exp-sum_binary64`
23×	`associate-/l/_binary64`
21×	`div-sub_binary64`
20×	`associate--r+_binary64`
19×	`cube-prod_binary64`
18×	`prod-exp_binary64`
16×	`unpow3_binary64` `cube-mult_binary64` `swap-sqr_binary64`
14×	`exp-diff_binary64`
11×	`/-rgt-identity_binary64`
10×	`mul-1-neg_binary64`
6×	`log-div_binary64` `cube-div_binary64` `pow-sqr_binary64`
5×	`cube-unmult_binary64`
4×	`difference-of-sqr--1_binary64`
3×	`difference-of-squares_binary64`
2×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_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` `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` `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-3cbrt-rft_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

143 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	5823
1	698	3710
2	2550	3492
3	5236	3492

prune80.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Error

0.2b

Counts

107 → 5

Compiler

Compiled 1998 to 861 computations (56.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.1b	(pow.f64 (tanh.f64 (/.f64 t y)) 3)
6.4b	(.f64 (.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))))
11.9b	(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))

rewrite179.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

22×	`add-sqr-sqrt_binary64`
16×	`cbrt-prod_binary64`
15×	`cube-div_binary64` `*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`cbrt-div_binary64`
11×	`associate-*r/_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `frac-sub_binary64` `associate-r_binary64`
7×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`sqr-pow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `pow-unpow_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `sub-neg_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64`

Counts

4 → 103

Calls

4 calls:

18.0ms	(.f64 (.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))))
6.0ms	(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))
4.0ms	(pow.f64 (tanh.f64 (/.f64 t y)) 3)
2.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 2982 to 1232 computations (58.7% saved)

series353.0ms (6.2%)

Error

0.2b

Counts

4 → 34

Calls

4 calls:

227.0ms	(.f64 (.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))))
45.0ms	(pow.f64 (tanh.f64 (/.f64 t y)) 3)
30.0ms	(tanh.f64 (/.f64 x y))
29.0ms	(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))

Compiler

Compiled 2836 to 2084 computations (26.5% saved)

simplify143.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

315×	`unswap-sqr_binary64`
314×	`log-prod_binary64`
283×	`associate-l_binary64`
233×	`associate-r_binary64`
184×	`*-commutative_binary64`
173×	`times-frac_binary64`
163×	`distribute-rgt-in_binary64`
162×	`distribute-lft-in_binary64`
128×	`sub-neg_binary64`
100×	`sqr-pow_binary64`
93×	`exp-prod_binary64`
81×	`cancel-sign-sub-inv_binary64`
80×	`distribute-neg-in_binary64`
61×	`neg-sub0_binary64`
60×	`distribute-neg-frac_binary64`
59×	`+-commutative_binary64`
57×	`cube-prod_binary64` `neg-mul-1_binary64`
56×	`-rgt-identity_binary64` `-lft-identity_binary64`
47×	`swap-sqr_binary64`
46×	`associate-/l*_binary64`
43×	`log-div_binary64`
41×	`associate-*r/_binary64`
40×	`unsub-neg_binary64`
38×	`associate-*l/_binary64`
37×	`associate--l+_binary64`
33×	`log-pow_binary64`
27×	`distribute-rgt-neg-in_binary64` `associate-+l+_binary64`
25×	`exp-sum_binary64`
23×	`unpow3_binary64`
22×	`cube-mult_binary64` `div-sub_binary64`
21×	`cube-div_binary64`
18×	`prod-exp_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64`
16×	`pow-sqr_binary64` `difference-of-squares_binary64` `associate-/r*_binary64`
15×	`distribute-lft-neg-in_binary64`
14×	`exp-diff_binary64` `mul-1-neg_binary64`
11×	`rem-sqrt-square_binary64`
10×	`cube-unmult_binary64` `rem-cbrt-cube_binary64` `associate-/r/_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`pow-plus_binary64`
4×	`difference-of-sqr--1_binary64`
2×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `+-rgt-identity_binary64` `distribute-neg-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` `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-3cbrt-rft_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-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64`

Counts

137 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4040
1	769	2879
2	2907	2861
3	4845	2861
4	5194	2861

prune75.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Error

0.2b

Counts

108 → 5

Compiler

Compiled 1893 to 790 computations (58.3% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 -2 (/.f64 t y)))
0.0b	(exp.f64 (*.f64 -2 (/.f64 t y)))
3.5b	(-.f64 (+.f64 (/.f64 y (+.f64 1 (exp.f64 (.f64 -2 (/.f64 t y))))) (.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))) (.f64 (/.f64 y (+.f64 1 (exp.f64 (.f64 -2 (/.f64 t y))))) (exp.f64 (*.f64 -2 (/.f64 t y)))))
7.7b	(*.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))

rewrite144.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

13×	`add-log-exp_binary64`
10×	`add-sqr-sqrt_binary64` `associate-r_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-neg-frac_binary64` `associate-*r/_binary64`
5×	`associate-*l/_binary64` `frac-sub_binary64`
3×	`associate-l_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `frac-add_binary64`
2×	`distribute-rgt-neg-out_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `diff-log_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `rem-exp-log_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `neg-mul-1_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `unsub-neg_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

4 → 69

Calls

4 calls:

16.0ms	(-.f64 (+.f64 (/.f64 y (+.f64 1 (exp.f64 (.f64 -2 (/.f64 t y))))) (.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))) (.f64 (/.f64 y (+.f64 1 (exp.f64 (.f64 -2 (/.f64 t y))))) (exp.f64 (*.f64 -2 (/.f64 t y)))))
7.0ms	(*.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))
2.0ms	(exp.f64 (*.f64 -2 (/.f64 t y)))
2.0ms	(exp.f64 (*.f64 -2 (/.f64 t y)))

Compiler

Compiled 3597 to 1848 computations (48.6% saved)

series271.0ms (4.8%)

Error

0.2b

Counts

4 → 41

Calls

4 calls:

140.0ms	(-.f64 (+.f64 (/.f64 y (+.f64 1 (exp.f64 (.f64 -2 (/.f64 t y))))) (.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))) (.f64 (/.f64 y (+.f64 1 (exp.f64 (.f64 -2 (/.f64 t y))))) (exp.f64 (*.f64 -2 (/.f64 t y)))))
45.0ms	(*.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))
31.0ms	(exp.f64 (*.f64 -2 (/.f64 t y)))
29.0ms	(exp.f64 (*.f64 -2 (/.f64 t y)))

Compiler

Compiled 3784 to 2693 computations (28.8% saved)

simplify138.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

240×	`cancel-sign-sub-inv_binary64`
236×	`distribute-rgt-neg-in_binary64`
215×	`associate-/l*_binary64`
201×	`times-frac_binary64`
195×	`distribute-lft-neg-in_binary64`
175×	`associate-l_binary64`
172×	`exp-prod_binary64` `distribute-lft-neg-out_binary64`
171×	`associate-r_binary64`
158×	`distribute-rgt-in_binary64`
154×	`distribute-rgt-neg-out_binary64`
153×	`distribute-lft-in_binary64`
136×	`*-commutative_binary64`
134×	`cube-prod_binary64`
117×	`neg-sub0_binary64`
112×	`neg-mul-1_binary64`
109×	`sub-neg_binary64`
83×	`log-prod_binary64` `distribute-neg-in_binary64`
81×	`distribute-neg-frac_binary64`
79×	`cube-div_binary64`
74×	`unsub-neg_binary64`
68×	`distribute-rgt-out_binary64`
62×	`+-commutative_binary64`
54×	`unswap-sqr_binary64`
51×	`sqr-pow_binary64`
49×	`*-lft-identity_binary64`
48×	`log-div_binary64`
45×	`-rgt-identity_binary64` `associate-r/_binary64`
42×	`associate-/r/_binary64` `associate-*l/_binary64`
41×	`distribute-lft-out_binary64`
35×	`unpow3_binary64`
32×	`exp-diff_binary64`
31×	`associate-+l+_binary64`
28×	`cube-mult_binary64`
27×	`exp-sum_binary64` `associate--l+_binary64`
22×	`associate-/l/_binary64`
20×	`associate-/r*_binary64`
19×	`prod-exp_binary64`
18×	`div-sub_binary64` `distribute-rgt-out--_binary64`
15×	`swap-sqr_binary64`
13×	`remove-double-neg_binary64` `associate--r+_binary64` `associate-+r+_binary64`
10×	`log-pow_binary64` `/-rgt-identity_binary64`
9×	`distribute-neg-out_binary64`
6×	`log-rec_binary64` `div-exp_binary64` `exp-neg_binary64` `pow-sqr_binary64`
5×	`distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
4×	`cube-unmult_binary64` `difference-of-squares_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `count-2_binary64`
1×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `pow-plus_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_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` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `associate--l-_binary64`

Counts

110 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	3685
1	622	3363
2	2205	3032
3	4425	3032
4	5006	3032

prune66.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	63	5	68

Error

0.2b

Counts

68 → 5

Compiler

Compiled 2159 to 1183 computations (45.2% saved)

regimes716.0ms (12.7%)

Accuracy

Total 1.6b remaining (97.3%)

Threshold costs 0b (0%)

Compiler

Compiled 9851 to 7267 computations (26.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64` `sub-neg_binary64`
2×	`unsub-neg_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_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` `/-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`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	27	28
2	32	26
3	38	26
4	43	26
5	46	26
6	47	26
7	45	26

end1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

sample978.0ms (17.3%)

Algorithm

1×

intervals

Results

409.0ms	7793×	body	128	valid
27.0ms	538×	body	128	invalid
14.0ms	70×	body	1024	valid
12.0ms	80×	body	512	valid
5.0ms	57×	body	256	valid

Compiler

Compiled 168 to 146 computations (13.1% saved)

Details

analyze860.0ms (15.2%)

sample25.0ms (0.4%)

simplify61.0ms (1.1%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite142.0ms (2.5%)

series413.0ms (7.3%)

simplify119.0ms (2.1%)

prune84.0ms (1.5%)

localize11.0ms (0.2%)

rewrite181.0ms (3.2%)

series431.0ms (7.6%)

simplify128.0ms (2.3%)

prune80.0ms (1.4%)

localize14.0ms (0.3%)

rewrite179.0ms (3.2%)

series353.0ms (6.2%)

simplify143.0ms (2.5%)

prune75.0ms (1.3%)

localize21.0ms (0.4%)

rewrite144.0ms (2.6%)

series271.0ms (4.8%)

simplify138.0ms (2.4%)

prune66.0ms (1.2%)

regimes716.0ms (12.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample978.0ms (17.3%)

Profiling