Details

analyze101.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Rules

464×	`times-frac_binary64`
407×	`neg-mul-1_binary64`
388×	`neg-sub0_binary64` `associate-/r/_binary64`
311×	`associate-/l/_binary64`
286×	`unswap-sqr_binary64`
260×	`associate-l_binary64`
251×	`associate-r_binary64`
234×	`distribute-frac-neg_binary64`
207×	`*-commutative_binary64`
200×	`cancel-sign-sub-inv_binary64`
183×	`div-sub_binary64`
176×	`sub-neg_binary64`
155×	`associate-*l/_binary64`
151×	`associate-/r*_binary64`
146×	`distribute-rgt-neg-out_binary64`
142×	`distribute-rgt-in_binary64`
141×	`unsub-neg_binary64`
126×	`associate-/l*_binary64`
124×	`distribute-neg-frac_binary64`
95×	`distribute-rgt-neg-in_binary64`
85×	`distribute-lft-in_binary64`
77×	`distribute-lft-neg-out_binary64`
66×	`distribute-lft-neg-in_binary64`
64×	`associate-*r/_binary64`
46×	`/-rgt-identity_binary64`
45×	`sqr-pow_binary64`
43×	`*-rgt-identity_binary64` `div0_binary64`
36×	`*-lft-identity_binary64`
32×	`exp-prod_binary64` `mul0-lft_binary64`
31×	`mul0-rgt_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64`
29×	`remove-double-neg_binary64` `+-lft-identity_binary64`
28×	`exp-neg_binary64`
25×	`exp-diff_binary64` `exp-sum_binary64` `cube-prod_binary64`
22×	`cancel-sign-sub_binary64`
21×	`sqr-neg_binary64`
20×	`pow-sqr_binary64`
19×	`pow-plus_binary64`
18×	`associate-+l-_binary64`
17×	`+-commutative_binary64`
16×	`distribute-neg-out_binary64`
15×	`sub0-neg_binary64` `associate--r+_binary64`
12×	`mul-1-neg_binary64`
10×	`associate-+l+_binary64`
9×	`cube-unmult_binary64`
8×	`exp-sqrt_binary64` `associate--r-_binary64`
7×	`associate--l-_binary64` `associate-+r-_binary64`
6×	`associate-+r+_binary64`
5×	`unpow3_binary64` `exp-lft-sqr_binary64`
4×	`prod-exp_binary64` `--rgt-identity_binary64` `remove-double-div_binary64` `associate--l+_binary64`
3×	`unpow2_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1_binary64` `div-exp_binary64` `cube-mult_binary64` `+-rgt-identity_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	57	22
4	116	22
5	263	22
6	561	22
7	1419	22
8	3334	22
9	4405	22
10	4797	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample54.0ms (1.6%)

Algorithm

1×

intervals

Results

27.0ms	108×	body	1024	valid
10.0ms	74×	body	512	valid
4.0ms	16×	body	2048	valid
3.0ms	34×	body	256	valid
1.0ms	24×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

464×	`times-frac_binary64`
407×	`neg-mul-1_binary64`
388×	`neg-sub0_binary64` `associate-/r/_binary64`
311×	`associate-/l/_binary64`
286×	`unswap-sqr_binary64`
260×	`associate-l_binary64`
251×	`associate-r_binary64`
234×	`distribute-frac-neg_binary64`
207×	`*-commutative_binary64`
200×	`cancel-sign-sub-inv_binary64`
183×	`div-sub_binary64`
176×	`sub-neg_binary64`
155×	`associate-*l/_binary64`
151×	`associate-/r*_binary64`
146×	`distribute-rgt-neg-out_binary64`
142×	`distribute-rgt-in_binary64`
141×	`unsub-neg_binary64`
126×	`associate-/l*_binary64`
124×	`distribute-neg-frac_binary64`
95×	`distribute-rgt-neg-in_binary64`
85×	`distribute-lft-in_binary64`
77×	`distribute-lft-neg-out_binary64`
66×	`distribute-lft-neg-in_binary64`
64×	`associate-*r/_binary64`
46×	`/-rgt-identity_binary64`
45×	`sqr-pow_binary64`
43×	`*-rgt-identity_binary64` `div0_binary64`
36×	`*-lft-identity_binary64`
32×	`exp-prod_binary64` `mul0-lft_binary64`
31×	`mul0-rgt_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64`
29×	`remove-double-neg_binary64` `+-lft-identity_binary64`
28×	`exp-neg_binary64`
25×	`exp-diff_binary64` `exp-sum_binary64` `cube-prod_binary64`
22×	`cancel-sign-sub_binary64`
21×	`sqr-neg_binary64`
20×	`pow-sqr_binary64`
19×	`pow-plus_binary64`
18×	`associate-+l-_binary64`
17×	`+-commutative_binary64`
16×	`distribute-neg-out_binary64`
15×	`sub0-neg_binary64` `associate--r+_binary64`
12×	`mul-1-neg_binary64`
10×	`associate-+l+_binary64`
9×	`cube-unmult_binary64`
8×	`exp-sqrt_binary64` `associate--r-_binary64`
7×	`associate--l-_binary64` `associate-+r-_binary64`
6×	`associate-+r+_binary64`
5×	`unpow3_binary64` `exp-lft-sqr_binary64`
4×	`prod-exp_binary64` `--rgt-identity_binary64` `remove-double-div_binary64` `associate--l+_binary64`
3×	`unpow2_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1_binary64` `div-exp_binary64` `cube-mult_binary64` `+-rgt-identity_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	57	22
4	116	22
5	263	22
6	561	22
7	1419	22
8	3334	22
9	4405	22
10	4797	22

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.0b

Counts

1 → 1

Compiler

Compiled 13 to 7 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.4b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite62.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
8×	`cosh-undef_binary64` `distribute-lft-out_binary64`
7×	`sinh-undef_binary64` `add-log-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
3×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `flip--_binary64` `associate-/l/_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `tanh-undef_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 89

Calls

3 calls:

11.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1709 to 265 computations (84.5% saved)

series51.0ms (1.5%)

Error

0.4b

Counts

3 → 18

Calls

3 calls:

17.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 576 to 382 computations (33.7% saved)

simplify140.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

373×	`cancel-sign-sub-inv_binary64`
283×	`exp-prod_binary64`
265×	`unswap-sqr_binary64`
221×	`div-sub_binary64`
217×	`associate-l_binary64`
208×	`associate-r_binary64`
138×	`sub-neg_binary64`
127×	`distribute-rgt-in_binary64`
123×	`log-prod_binary64`
118×	`*-commutative_binary64`
105×	`distribute-lft-in_binary64`
100×	`distribute-neg-frac_binary64`
93×	`associate-*l/_binary64`
92×	`+-commutative_binary64`
91×	`associate-/l*_binary64`
85×	`associate-+l+_binary64`
82×	`associate-/l/_binary64`
65×	`associate-+r+_binary64`
64×	`sqr-pow_binary64` `associate-*r/_binary64`
63×	`cube-prod_binary64` `neg-sub0_binary64` `associate-/r*_binary64`
59×	`neg-mul-1_binary64`
55×	`unsub-neg_binary64`
50×	`difference-of-squares_binary64`
49×	`unpow3_binary64`
41×	`associate-/r/_binary64`
40×	`swap-sqr_binary64`
36×	`distribute-rgt-neg-in_binary64`
35×	`times-frac_binary64`
34×	`associate-+r-_binary64`
32×	`distribute-frac-neg_binary64`
31×	`distribute-lft-neg-in_binary64`
29×	`prod-exp_binary64` `*-rgt-identity_binary64`
28×	`exp-sum_binary64`
26×	`associate-+l-_binary64`
19×	`log-div_binary64` `*-lft-identity_binary64`
18×	`exp-diff_binary64`
17×	`distribute-neg-in_binary64` `associate--l+_binary64`
16×	`pow-plus_binary64` `associate--r+_binary64`
15×	`cube-unmult_binary64` `cube-div_binary64`
14×	`+-rgt-identity_binary64`
13×	`sub0-neg_binary64`
11×	`div-exp_binary64` `mul0-lft_binary64` `distribute-lft-neg-out_binary64`
10×	`log-pow_binary64` `pow-sqr_binary64`
9×	`rem-sqrt-square_binary64` `mul0-rgt_binary64`
7×	`/-rgt-identity_binary64`
6×	`difference-of-sqr--1_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
5×	`remove-double-neg_binary64` `associate--r-_binary64` `associate--l-_binary64`
4×	`rec-exp_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
3×	`cube-mult_binary64` `mul-1-neg_binary64` `distribute-neg-out_binary64`
2×	`log-rec_binary64` `unpow1_binary64` `exp-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
1×	`cosh-def_binary64` `sinh-def_binary64` `unpow2_binary64` `unpow1/2_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_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` `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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

107 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2671
1	391	2495
2	930	2484
3	2634	2484
4	4646	2484
5	5039	2484

prune32.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Compiler

Compiled 708 to 277 computations (60.9% saved)

localize4.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(sinh.f64 x)
0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`sinh-def_binary64` `cosh-def_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

3 → 45

Calls

3 calls:

4.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)
1.0ms	(cosh.f64 x)

Compiler

Compiled 494 to 137 computations (72.3% saved)

series61.0ms (1.8%)

Error

Counts

3 → 18

Calls

3 calls:

22.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
11.0ms	(sinh.f64 x)
11.0ms	(cosh.f64 x)

Compiler

Compiled 510 to 374 computations (26.7% saved)

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/l/_binary64`
536×	`times-frac_binary64`
355×	`associate-/r/_binary64`
268×	`unswap-sqr_binary64`
189×	`sub-neg_binary64`
182×	`div-sub_binary64`
165×	`cancel-sign-sub-inv_binary64`
103×	`*-commutative_binary64`
102×	`neg-mul-1_binary64`
100×	`associate-r_binary64`
99×	`associate-l_binary64`
93×	`neg-sub0_binary64` `distribute-rgt-in_binary64`
87×	`distribute-lft-in_binary64`
83×	`sqr-pow_binary64`
77×	`exp-prod_binary64`
73×	`associate-*l/_binary64`
71×	`associate-/l*_binary64`
62×	`distribute-rgt-neg-in_binary64`
55×	`+-commutative_binary64`
54×	`distribute-lft-neg-in_binary64`
51×	`associate-+l+_binary64`
45×	`/-rgt-identity_binary64` `associate-/r*_binary64`
44×	`associate-*r/_binary64`
40×	`distribute-lft-out_binary64`
36×	`unsub-neg_binary64`
34×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
33×	`*-lft-identity_binary64`
27×	`log-div_binary64` `*-rgt-identity_binary64`
25×	`exp-diff_binary64` `cube-prod_binary64`
24×	`cube-div_binary64`
22×	`exp-sum_binary64`
17×	`log-prod_binary64` `remove-double-neg_binary64` `div0_binary64`
15×	`unpow3_binary64`
13×	`cube-unmult_binary64` `associate-+l-_binary64`
12×	`associate-+r-_binary64`
11×	`pow-sqr_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64`
10×	`pow-plus_binary64` `cube-mult_binary64` `swap-sqr_binary64` `associate--l+_binary64`
9×	`sub0-neg_binary64`
8×	`exp-sqrt_binary64` `difference-of-squares_binary64`
7×	`+-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--r+_binary64`
5×	`exp-lft-sqr_binary64` `distribute-rgt-neg-out_binary64`
4×	`prod-exp_binary64` `associate--l-_binary64`
3×	`associate--r-_binary64`
2×	`unpow1_binary64` `rem-sqrt-square_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
1×	`cosh-def_binary64` `sinh-def_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rgt-mult-inverse_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` `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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

63 → 26

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	854
1	238	806
2	592	806
3	1557	752
4	4182	752
5	4903	752

prune19.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Error

Counts

30 → 4

Compiler

Compiled 308 to 180 computations (41.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
0.1b	(*.f64 (pow.f64 x 5) 2/15)
0.2b	(*.f64 1/3 (pow.f64 x 3))

rewrite87.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64`
4×	`cube-prod_binary64` `sqr-pow_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64` `sum-log_binary64` `associate-+l+_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `diff-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `+-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

6.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)

Compiler

Compiled 1294 to 1023 computations (20.9% saved)

series36.0ms (1.1%)

Error

Counts

3 → 11

Calls

3 calls:

12.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
11.0ms	(*.f64 1/3 (pow.f64 x 3))
10.0ms	(*.f64 (pow.f64 x 5) 2/15)

Compiler

Compiled 274 to 231 computations (15.7% saved)

simplify94.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

550×	`unswap-sqr_binary64`
466×	`exp-prod_binary64`
397×	`log-prod_binary64`
336×	`cancel-sign-sub-inv_binary64`
284×	`*-commutative_binary64`
216×	`distribute-rgt-neg-in_binary64`
165×	`distribute-lft-neg-in_binary64`
153×	`distribute-rgt-in_binary64`
142×	`distribute-lft-in_binary64`
113×	`sqr-pow_binary64`
111×	`associate-l_binary64`
103×	`associate-r_binary64`
89×	`unsub-neg_binary64`
84×	`cube-prod_binary64`
83×	`swap-sqr_binary64`
72×	`sub-neg_binary64`
71×	`distribute-rgt-neg-out_binary64`
69×	`distribute-lft-neg-out_binary64`
59×	`neg-mul-1_binary64` `neg-sub0_binary64`
53×	`associate-/l*_binary64`
46×	`unpow3_binary64` `distribute-rgt-out_binary64`
44×	`associate-+l+_binary64`
41×	`distribute-neg-in_binary64`
38×	`associate-+r+_binary64`
36×	`associate-/r*_binary64`
34×	`exp-sum_binary64`
27×	`log-pow_binary64` `pow-plus_binary64` `+-commutative_binary64`
22×	`associate--r-_binary64`
21×	`distribute-rgt-out--_binary64`
18×	`exp-diff_binary64` `pow-sqr_binary64`
17×	`associate--r+_binary64`
15×	`times-frac_binary64`
13×	`cube-unmult_binary64` `associate--l+_binary64` `associate-+l-_binary64`
12×	`cube-mult_binary64`
11×	`associate-+r-_binary64`
10×	`rem-sqrt-square_binary64` `distribute-neg-out_binary64`
9×	`count-2_binary64` `associate-*r/_binary64`
7×	`sub0-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
6×	`*-rgt-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
5×	`unpow1/3_binary64` `-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-l/_binary64`
3×	`div-exp_binary64` `--rgt-identity_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_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-rec_binary64` `log-div_binary64` `pow-base-0_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64`

Counts

82 → 53

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1101
1	288	1022
2	848	1009
3	2057	1009
4	4424	1003
5	5085	1003

prune38.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	53	4	57

Error

Counts

57 → 4

Compiler

Compiled 785 to 601 computations (23.4% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
0.0b	(pow.f64 (exp.f64 x) 2)
5.4b	(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1)))

rewrite141.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

81×	`*-un-lft-identity_binary64`
54×	`times-frac_binary64`
51×	`add-sqr-sqrt_binary64`
34×	`add-cube-cbrt_binary64`
18×	`cancel-sign-sub-inv_binary64`
15×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `associate-/r*_binary64`
8×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `difference-of-squares_binary64` `associate-/r/_binary64` `distribute-lft-out--_binary64` `associate-/l*_binary64`
4×	`div-inv_binary64` `pow-pow_binary64` `cosh-undef_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64` `exp-prod_binary64` `div-exp_binary64`
2×	`cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64`

Counts

4 → 137

Calls

4 calls:

30.0ms	(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1)))
7.0ms	(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
7.0ms	(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 3398 to 1602 computations (52.9% saved)

series78.0ms (2.3%)

Error

Counts

4 → 24

Calls

4 calls:

24.0ms	(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1)))
15.0ms	(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
14.0ms	(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
11.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 877 to 629 computations (28.3% saved)

simplify145.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

716×	`times-frac_binary64`
439×	`associate-/l*_binary64`
253×	`associate-*l/_binary64`
208×	`distribute-rgt-in_binary64`
190×	`cancel-sign-sub-inv_binary64`
189×	`associate-/r*_binary64`
177×	`distribute-lft-in_binary64`
172×	`div-sub_binary64`
118×	`associate-/l/_binary64`
102×	`exp-prod_binary64`
99×	`sub-neg_binary64`
79×	`associate-/r/_binary64`
77×	`distribute-rgt-neg-in_binary64`
75×	`log-prod_binary64`
71×	`cube-prod_binary64`
64×	`*-commutative_binary64` `+-commutative_binary64`
61×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
60×	`cube-div_binary64`
58×	`log-div_binary64` `neg-sub0_binary64` `associate-r_binary64`
57×	`associate-l_binary64`
54×	`neg-mul-1_binary64`
52×	`unswap-sqr_binary64`
49×	`distribute-neg-frac_binary64`
46×	`associate-*r/_binary64`
38×	`exp-sum_binary64`
36×	`prod-exp_binary64` `distribute-rgt-out_binary64`
32×	`distribute-lft-neg-out_binary64`
27×	`*-rgt-identity_binary64`
25×	`unsub-neg_binary64`
23×	`distribute-rgt-neg-out_binary64`
21×	`associate-+r+_binary64`
20×	`distribute-neg-in_binary64` `associate--l+_binary64`
19×	`unpow3_binary64`
18×	`associate-+l+_binary64`
17×	`cube-unmult_binary64`
15×	`log-pow_binary64` `rem-sqrt-square_binary64`
14×	`*-lft-identity_binary64`
13×	`distribute-lft-out_binary64` `associate--r+_binary64`
12×	`exp-diff_binary64` `/-rgt-identity_binary64`
11×	`pow-plus_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
10×	`distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
9×	`cube-mult_binary64`
7×	`log-rec_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`
6×	`unpow1/2_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `rec-exp_binary64`
4×	`exp-to-pow_binary64` `div-exp_binary64` `distribute-lft1-in_binary64`
3×	`rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-+l-_binary64`
2×	`exp-neg_binary64` `rem-3cbrt-lft_binary64` `sub0-neg_binary64` `div0_binary64` `difference-of-sqr-1_binary64`
1×	`cosh-def_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_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` `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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

161 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	242	3377
1	598	3251
2	1601	3091
3	4420	3089
4	5061	3089

prune61.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	130	3	133

Error

Counts

133 → 3

Compiler

Compiled 1965 to 1140 computations (42% saved)

regimes132.0ms (3.9%)

Accuracy

Total 0.0b remaining (70.4%)

Threshold costs 0.0b (70.4%)

Compiler

Compiled 1600 to 1203 computations (24.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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 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 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 *-commutative_binary64 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end1.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

sample1.9s (54.5%)

Algorithm

1×

intervals

Results

1.0s	3896×	body	1024	valid
254.0ms	1949×	body	512	valid
116.0ms	416×	body	2048	valid
84.0ms	969×	body	256	valid
31.0ms	770×	body	128	valid
0.0ms	2×	body	128	overflowed

Compiler

Compiled 57 to 50 computations (12.3% saved)

Details

analyze101.0ms (3%)

sample54.0ms (1.6%)

simplify71.0ms (2.1%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite62.0ms (1.8%)

series51.0ms (1.5%)

simplify140.0ms (4.1%)

prune32.0ms (0.9%)

localize4.0ms (0.1%)

rewrite32.0ms (1%)

series61.0ms (1.8%)

simplify76.0ms (2.2%)

prune19.0ms (0.5%)

localize8.0ms (0.2%)

rewrite87.0ms (2.6%)

series36.0ms (1.1%)

simplify94.0ms (2.8%)

prune38.0ms (1.1%)

localize13.0ms (0.4%)

rewrite141.0ms (4.1%)

series78.0ms (2.3%)

simplify145.0ms (4.3%)

prune61.0ms (1.8%)

regimes132.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.9s (54.5%)

Profiling