Details

analyze1.6s (12.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

450×	`div-sub_binary64`
335×	`times-frac_binary64`
172×	`sub-neg_binary64`
155×	`associate-/l*_binary64`
135×	`associate-/l/_binary64`
120×	`associate-/r*_binary64`
112×	`associate-/r/_binary64`
93×	`cancel-sign-sub-inv_binary64`
77×	`unsub-neg_binary64` `distribute-rgt-in_binary64`
66×	`distribute-neg-frac_binary64`
60×	`distribute-lft-in_binary64`
45×	`distribute-frac-neg_binary64`
41×	`neg-mul-1_binary64`
33×	`neg-sub0_binary64`
29×	`associate--r+_binary64`
26×	`distribute-rgt-neg-in_binary64`
22×	`distribute-lft-neg-in_binary64` `associate-l/_binary64` `-commutative_binary64`
21×	`+-commutative_binary64`
20×	`mul0-rgt_binary64` `associate-r_binary64` `associate--l-_binary64`
19×	`div0_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate-*r/_binary64`
18×	`associate--r-_binary64`
16×	`mul0-lft_binary64`
13×	`sub0-neg_binary64`
12×	`*-lft-identity_binary64`
11×	`associate-+l-_binary64`
10×	`distribute-neg-in_binary64`
9×	`associate-+l+_binary64`
7×	`+-lft-identity_binary64` `associate-l_binary64` `associate-+r-_binary64`
6×	`*-rgt-identity_binary64`
5×	`/-rgt-identity_binary64` `associate-+r+_binary64`
4×	`+-rgt-identity_binary64`
3×	`associate--l+_binary64`
2×	`tan-neg_binary64` `sin-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `cos-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-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_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	14	14
2	24	14
3	39	14
4	62	14
5	105	14
6	193	14
7	374	14
8	614	14
9	989	14
10	1101	14
11	1124	14
12	1093	14
13	1100	14
14	1102	14
15	1106	14
16	1106	14
17	1005	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
0%	100%	0%	13
0.1%	99.9%	0%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample200.0ms (1.5%)

Algorithm

1×

intervals

Results

145.0ms	76×	body	2048	valid
27.0ms	96×	body	1024	valid
8.0ms	46×	body	512	valid
3.0ms	3×	body	4096	valid
3.0ms	21×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

450×	`div-sub_binary64`
335×	`times-frac_binary64`
172×	`sub-neg_binary64`
155×	`associate-/l*_binary64`
135×	`associate-/l/_binary64`
120×	`associate-/r*_binary64`
112×	`associate-/r/_binary64`
93×	`cancel-sign-sub-inv_binary64`
77×	`unsub-neg_binary64` `distribute-rgt-in_binary64`
66×	`distribute-neg-frac_binary64`
60×	`distribute-lft-in_binary64`
45×	`distribute-frac-neg_binary64`
41×	`neg-mul-1_binary64`
33×	`neg-sub0_binary64`
29×	`associate--r+_binary64`
26×	`distribute-rgt-neg-in_binary64`
22×	`distribute-lft-neg-in_binary64` `associate-l/_binary64` `-commutative_binary64`
21×	`+-commutative_binary64`
20×	`mul0-rgt_binary64` `associate-r_binary64` `associate--l-_binary64`
19×	`div0_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate-*r/_binary64`
18×	`associate--r-_binary64`
16×	`mul0-lft_binary64`
13×	`sub0-neg_binary64`
12×	`*-lft-identity_binary64`
11×	`associate-+l-_binary64`
10×	`distribute-neg-in_binary64`
9×	`associate-+l+_binary64`
7×	`+-lft-identity_binary64` `associate-l_binary64` `associate-+r-_binary64`
6×	`*-rgt-identity_binary64`
5×	`/-rgt-identity_binary64` `associate-+r+_binary64`
4×	`+-rgt-identity_binary64`
3×	`associate--l+_binary64`
2×	`tan-neg_binary64` `sin-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `cos-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-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_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	14	14
2	24	14
3	39	14
4	62	14
5	105	14
6	193	14
7	374	14
8	614	14
9	989	14
10	1101	14
11	1124	14
12	1093	14
13	1100	14
14	1102	14
15	1106	14
16	1106	14
17	1005	14

prune4.0ms (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

31.1b

Counts

1 → 1

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.4b	(-.f64 x (tan.f64 x))
0.5b	(-.f64 x (sin.f64 x))

rewrite133.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

Rules

45×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
25×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow1_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

3 → 84

Calls

3 calls:

9.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms	(-.f64 x (sin.f64 x))
4.0ms	(-.f64 x (tan.f64 x))

Compiler

Compiled 1295 to 257 computations (80.2% saved)

series348.0ms (2.6%)

Error

0.0b

Counts

3 → 28

Calls

3 calls:

164.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
94.0ms	(-.f64 x (tan.f64 x))
59.0ms	(-.f64 x (sin.f64 x))

Compiler

Compiled 900 to 603 computations (33% saved)

simplify185.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

498×	`times-frac_binary64`
453×	`associate-l_binary64`
357×	`associate-/l*_binary64`
183×	`associate-/r*_binary64`
174×	`distribute-rgt-in_binary64`
171×	`cancel-sign-sub-inv_binary64`
147×	`distribute-lft-in_binary64`
129×	`sub-neg_binary64`
114×	`associate-/l/_binary64`
105×	`associate-*l/_binary64`
100×	`exp-prod_binary64`
83×	`div-sub_binary64`
82×	`distribute-rgt-neg-in_binary64`
69×	`distribute-lft-neg-in_binary64`
66×	`neg-mul-1_binary64`
63×	`+-commutative_binary64`
62×	`neg-sub0_binary64` `associate-*r/_binary64`
57×	`unswap-sqr_binary64`
51×	`associate-/r/_binary64`
45×	`*-commutative_binary64`
41×	`associate-r_binary64`
40×	`distribute-neg-in_binary64`
36×	`sqr-pow_binary64`
34×	`distribute-neg-frac_binary64`
30×	`associate--r+_binary64`
29×	`exp-sum_binary64` `unsub-neg_binary64` `associate--l+_binary64`
25×	`associate-+l+_binary64`
24×	`distribute-lft-neg-out_binary64` `associate-+r+_binary64`
23×	`cube-unmult_binary64`
19×	`unpow3_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`exp-diff_binary64`
8×	`exp-neg_binary64` `cube-prod_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64`
7×	`/-rgt-identity_binary64`
6×	`pow-plus_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
5×	`log-div_binary64` `log-prod_binary64`
4×	`pow-base-1_binary64` `cube-mult_binary64` `+-rgt-identity_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
2×	`unpow-1_binary64` `div-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `*-lft-identity_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

112 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	2358
1	524	2268
2	1408	2256
3	4869	2250
4	4987	2250
5	5000	2250
6	5000	2250
7	4922	2250

prune52.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	5	46

Error

0.0b

Counts

46 → 5

Compiler

Compiled 686 to 318 computations (53.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 x) 2)
0.2b	(pow.f64 (sin.f64 x) 2)
17.4b	(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2)))
17.4b	(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (cos.f64 x))))

rewrite320.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

86×	`add-exp-log_binary64`
36×	`prod-exp_binary64`
30×	`div-exp_binary64`
22×	`add-cbrt-cube_binary64`
18×	`pow-to-exp_binary64` `pow-exp_binary64` `unpow-prod-down_binary64`
16×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `associate-/l_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-unpow_binary64`
4×	`add-log-exp_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64` `pow-pow_binary64`

Counts

4 → 126

Calls

4 calls:

11.0ms	(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2)))
10.0ms	(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (cos.f64 x))))
3.0ms	(pow.f64 (sin.f64 x) 2)
3.0ms	(pow.f64 (sin.f64 x) 2)

Compiler

Compiled 5106 to 1985 computations (61.1% saved)

series319.0ms (2.4%)

Error

0.0b

Counts

4 → 13

Calls

4 calls:

138.0ms	(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2)))
93.0ms	(/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (cos.f64 x))))
39.0ms	(pow.f64 (sin.f64 x) 2)
35.0ms	(pow.f64 (sin.f64 x) 2)

Compiler

Compiled 1288 to 697 computations (45.9% saved)

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

500×	`associate-*l/_binary64`
495×	`associate-/l/_binary64`
350×	`associate-*r/_binary64`
294×	`*-commutative_binary64`
201×	`log-prod_binary64`
200×	`times-frac_binary64`
178×	`associate-/r/_binary64`
166×	`associate-/r*_binary64`
154×	`log-div_binary64`
141×	`associate-l_binary64`
135×	`associate-/l*_binary64`
125×	`cube-div_binary64`
115×	`associate-r_binary64`
97×	`sqr-pow_binary64`
93×	`swap-sqr_binary64`
91×	`cube-prod_binary64`
88×	`sub-neg_binary64` `unswap-sqr_binary64`
74×	`cancel-sign-sub-inv_binary64`
43×	`exp-prod_binary64`
41×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
30×	`associate--r+_binary64`
29×	`log-pow_binary64`
28×	`neg-mul-1_binary64` `neg-sub0_binary64`
23×	`pow-sqr_binary64`
19×	`pow-plus_binary64` `+-commutative_binary64`
18×	`unpow3_binary64` `cube-unmult_binary64`
16×	`rem-sqrt-square_binary64` `distribute-neg-in_binary64`
15×	`unsub-neg_binary64`
13×	`cube-mult_binary64`
12×	`distribute-rgt-in_binary64` `associate-+l+_binary64`
9×	`associate--l+_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+l-_binary64`
5×	`associate-+r+_binary64`
4×	`distribute-lft-out--_binary64`
3×	`sub0-neg_binary64` `associate-+r-_binary64`
2×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64`

Counts

139 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	2765
1	349	2247
2	1345	2151
3	3915	2067
4	4955	2067
5	5033	2067

prune129.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Error

0.0b

Counts

110 → 5

Compiler

Compiled 2423 to 902 computations (62.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.1b	(.f64 9/40 (.f64 x x))
17.6b	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
20.6b	(+.f64 (.f64 27/112000 (pow.f64 x 6)) (-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))))

rewrite189.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-log-exp_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`associate-r_binary64`
6×	`cancel-sign-sub-inv_binary64` `prod-exp_binary64` `associate-l_binary64`
5×	`sum-log_binary64`
4×	`diff-log_binary64` `associate-+r+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`pow-prod-down_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64` `sqr-pow_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64` `flip3--_binary64` `flip--_binary64` `associate--r+_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 78

Calls

4 calls:

13.0ms	(+.f64 (.f64 27/112000 (pow.f64 x 6)) (-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))))
9.0ms	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
6.0ms	(*.f64 27/2800 (pow.f64 x 4))
6.0ms	(.f64 9/40 (.f64 x x))

Compiler

Compiled 2096 to 1589 computations (24.2% saved)

series232.0ms (1.8%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

71.0ms	(+.f64 (.f64 27/112000 (pow.f64 x 6)) (-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))))
57.0ms	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
54.0ms	(*.f64 27/2800 (pow.f64 x 4))
36.0ms	(.f64 9/40 (.f64 x x))

Compiler

Compiled 592 to 520 computations (12.2% saved)

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

484×	`distribute-rgt-in_binary64`
468×	`distribute-lft-in_binary64`
345×	`*-commutative_binary64`
303×	`unswap-sqr_binary64`
221×	`exp-prod_binary64`
164×	`unsub-neg_binary64`
154×	`sub-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
126×	`associate-+l+_binary64`
119×	`associate-l_binary64`
118×	`sqr-pow_binary64`
112×	`associate-r_binary64`
106×	`associate-+r+_binary64`
100×	`times-frac_binary64`
92×	`log-prod_binary64`
86×	`exp-sum_binary64`
83×	`neg-mul-1_binary64`
81×	`neg-sub0_binary64`
68×	`+-commutative_binary64`
64×	`cube-prod_binary64`
59×	`distribute-rgt-neg-in_binary64`
54×	`associate--r+_binary64`
50×	`distribute-lft-neg-in_binary64`
43×	`exp-diff_binary64`
37×	`distribute-rgt-out_binary64`
33×	`unpow3_binary64` `distribute-neg-in_binary64`
30×	`associate-+l-_binary64`
27×	`associate--l+_binary64`
26×	`associate-/l*_binary64`
23×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
20×	`log-pow_binary64`
18×	`pow-sqr_binary64` `distribute-lft-out_binary64`
17×	`distribute-rgt-neg-out_binary64` `associate-+r-_binary64`
16×	`pow-plus_binary64`
15×	`div-exp_binary64`
14×	`mul0-rgt_binary64` `mul0-lft_binary64`
12×	`associate-/r*_binary64`
11×	`prod-exp_binary64` `cube-mult_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64`
10×	`difference-of-squares_binary64` `associate--r-_binary64` `associate--l-_binary64`
9×	`cube-unmult_binary64` `distribute-rgt-out--_binary64`
7×	`sub0-neg_binary64`
6×	`rem-sqrt-square_binary64` `associate-*r/_binary64`
4×	`unpow2_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64`
2×	`rem-square-sqrt_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `--rgt-identity_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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

97 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1670
1	372	1569
2	1123	1551
3	3566	1544
4	4868	1544
5	4951	1544
6	4841	1544

prune76.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Error

0.0b

Counts

61 → 6

Compiler

Compiled 1048 to 793 computations (24.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.7b	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
16.7b	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
16.7b	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
20.6b	(+.f64 (+.f64 (.f64 9/40 (.f64 x x)) (.f64 27/112000 (pow.f64 x 6))) (.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))))) (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4))))))

rewrite1.2s (8.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

114×	`cbrt-div_binary64`
84×	`flip3-+_binary64` `flip-+_binary64`
56×	`frac-times_binary64`
52×	`frac-add_binary64`
48×	`distribute-neg-frac_binary64`
28×	`associate-*l/_binary64`
16×	`associate-*r/_binary64`
9×	`add-log-exp_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sum-log_binary64` `pow1/3_binary64`
1×	`distribute-lft-neg-out_binary64` `unsub-neg_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (.f64 9/40 (.f64 x x)) (.f64 27/112000 (pow.f64 x 6))) (.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))))) (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4))))))
3.0ms	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
3.0ms	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
3.0ms	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))

Compiler

Compiled 12171 to 9907 computations (18.6% saved)

series1.0s (7.9%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

308.0ms	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
306.0ms	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
305.0ms	(cbrt.f64 (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
79.0ms	(+.f64 (+.f64 (.f64 9/40 (.f64 x x)) (.f64 27/112000 (pow.f64 x 6))) (.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4)))))) (cbrt.f64 (+.f64 1/2 (.f64 27/2800 (pow.f64 x 4))))))

Compiler

Compiled 2034 to 1776 computations (12.7% saved)

simplify250.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

336×	`associate-l_binary64`
318×	`associate-r_binary64`
301×	`distribute-rgt-neg-out_binary64`
281×	`distribute-lft-neg-out_binary64`
247×	`*-commutative_binary64`
227×	`associate-+l+_binary64`
226×	`cancel-sign-sub-inv_binary64`
202×	`distribute-rgt-neg-in_binary64`
178×	`distribute-lft-neg-in_binary64`
156×	`distribute-rgt-in_binary64`
148×	`distribute-lft-in_binary64`
132×	`neg-sub0_binary64`
129×	`neg-mul-1_binary64`
100×	`+-commutative_binary64`
84×	`sub-neg_binary64`
70×	`unswap-sqr_binary64`
63×	`sqr-pow_binary64` `distribute-rgt-out_binary64`
59×	`unsub-neg_binary64`
42×	`exp-prod_binary64`
38×	`cube-prod_binary64`
37×	`associate-+l-_binary64`
36×	`associate-+r-_binary64`
35×	`associate--r+_binary64`
34×	`associate--l+_binary64`
27×	`distribute-rgt-out--_binary64`
21×	`exp-sum_binary64`
20×	`swap-sqr_binary64`
16×	`unpow3_binary64` `distribute-neg-in_binary64`
14×	`distribute-lft-out_binary64`
13×	`exp-diff_binary64`
11×	`cube-mult_binary64` `remove-double-neg_binary64`
9×	`pow-sqr_binary64`
7×	`cube-unmult_binary64` `distribute-lft-out--_binary64` `associate-/l*_binary64` `associate--r-_binary64` `associate-+r+_binary64`
5×	`prod-exp_binary64` `rem-3cbrt-lft_binary64` `distribute-neg-out_binary64`
3×	`unpow1/3_binary64` `cube-neg_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--l-_binary64`
2×	`log-div_binary64` `pow-plus_binary64` `sqr-neg_binary64` `div-sub_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `associate-/r*_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-sqrt-square_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

128 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	11698
1	793	10790
2	2431	10639
3	4941	10639

prune207.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	89	6	95

Error

0.0b

Counts

95 → 6

Compiler

Compiled 3264 to 2711 computations (16.9% saved)

regimes382.0ms (2.9%)

Accuracy

Total 0.0b remaining (46.1%)

Threshold costs 0.0b (46.1%)

Compiler

Compiled 3164 to 2228 computations (29.6% saved)

bsearch69.0ms (0.5%)

Steps

Iters	Range		Point
9	6.559438851510245e-10	0.14108396857939381	0.10427973266118423
9	-63114.67905223968	-0.053785817248091936	-0.09316693960348439

Compiler

Compiled 1 to 1 computations (0% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
9×	`sub-neg_binary64` `*-commutative_binary64`
6×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`if-if-or-not_binary64` `unsub-neg_binary64` `distribute-neg-frac_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_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` `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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	64
1	44	64
2	62	64
3	80	64
4	89	64
5	93	64
6	94	64
7	92	64

end3.0ms (0%)

Compiler: Compiled 42 to 29 computations (31% saved)

sample5.9s (44.7%)

Algorithm

1×

intervals

Results

3.8s	1999×	body	2048	valid
1.0s	2995×	body	1024	valid
303.0ms	1492×	body	512	valid
109.0ms	113×	body	4096	valid
100.0ms	751×	body	256	valid
54.0ms	650×	body	128	valid

Compiler

Compiled 275 to 198 computations (28% saved)

Details

analyze1.6s (12.1%)

sample200.0ms (1.5%)

simplify78.0ms (0.6%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite133.0ms (1%)

series348.0ms (2.6%)

simplify185.0ms (1.4%)

prune52.0ms (0.4%)

localize23.0ms (0.2%)

rewrite320.0ms (2.4%)

series319.0ms (2.4%)

simplify126.0ms (0.9%)

prune129.0ms (1%)

localize12.0ms (0.1%)

rewrite189.0ms (1.4%)

series232.0ms (1.8%)

simplify130.0ms (1%)

prune76.0ms (0.6%)

localize19.0ms (0.1%)

rewrite1.2s (8.9%)

series1.0s (7.9%)

simplify250.0ms (1.9%)

prune207.0ms (1.6%)

regimes382.0ms (2.9%)

bsearch69.0ms (0.5%)

simplify6.0ms (0%)

end3.0ms (0%)

sample5.9s (44.7%)

Profiling