Details

analyze462.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

692×	`times-frac_binary64`
432×	`unswap-sqr_binary64`
342×	`associate-/r/_binary64`
306×	`associate-/l/_binary64`
302×	`associate-l_binary64`
258×	`associate-*l/_binary64`
230×	`*-commutative_binary64`
224×	`associate-r_binary64`
204×	`neg-mul-1_binary64`
186×	`associate-*r/_binary64`
182×	`neg-sub0_binary64`
178×	`associate-/l*_binary64`
156×	`div-sub_binary64`
136×	`associate-/r*_binary64`
94×	`exp-prod_binary64`
84×	`distribute-frac-neg_binary64`
80×	`sqr-pow_binary64`
72×	`distribute-rgt-neg-out_binary64`
70×	`*-lft-identity_binary64`
68×	`*-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
42×	`prod-exp_binary64` `remove-double-div_binary64`
36×	`pow-sqr_binary64`
34×	`distribute-rgt-in_binary64`
32×	`/-rgt-identity_binary64`
28×	`distribute-rgt-neg-in_binary64`
26×	`unpow3_binary64` `pow-plus_binary64` `exp-sum_binary64` `distribute-lft-in_binary64`
24×	`exp-diff_binary64` `cube-prod_binary64`
22×	`rec-exp_binary64` `distribute-neg-frac_binary64`
20×	`cube-unmult_binary64` `distribute-lft-neg-in_binary64`
18×	`sub-neg_binary64`
16×	`exp-lft-sqr_binary64`
14×	`exp-sqrt_binary64` `exp-neg_binary64` `cancel-sign-sub-inv_binary64`
12×	`distribute-neg-in_binary64` `+-commutative_binary64`
8×	`div-exp_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out_binary64`
6×	`unpow2_binary64` `cube-div_binary64` `remove-double-neg_binary64` `associate--l-_binary64`
4×	`sin-neg_binary64` `unpow1_binary64` `sub0-neg_binary64` `distribute-lft-out_binary64`
2×	`unpow1/2_binary64` `cube-mult_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `associate--r+_binary64` `associate-+l-_binary64`
1×	`exp-1-e_binary64` `exp-0_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` `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` `e-exp-1_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	48	36
2	117	36
3	159	36
4	205	36
5	305	36
6	541	36
7	1305	36
8	3148	36
9	3225	36
10	4346	36
11	4892	36
12	4943	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample85.0ms (1.4%)

Algorithm

1×

intervals

Results

20.0ms	54×	body	1024	valid
16.0ms	67×	body	1024	invalid
10.0ms	159×	body	128	valid
6.0ms	101×	body	128	invalid
5.0ms	28×	body	512	valid
5.0ms	29×	body	512	invalid
2.0ms	21×	body	256	invalid
2.0ms	15×	body	256	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify119.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`unswap-sqr_binary64`
491×	`associate-/r*_binary64`
449×	`div-exp_binary64`
360×	`associate-/l*_binary64`
346×	`times-frac_binary64`
288×	`rem-sqrt-square_binary64`
256×	`*-commutative_binary64`
234×	`sqr-pow_binary64`
171×	`associate-/r/_binary64`
153×	`associate-/l/_binary64`
151×	`associate-l_binary64`
145×	`pow-sqr_binary64`
122×	`associate-*l/_binary64`
112×	`associate-r_binary64`
111×	`div-sub_binary64`
93×	`exp-prod_binary64`
92×	`associate-*r/_binary64`
72×	`cube-prod_binary64`
69×	`prod-exp_binary64`
61×	`unpow3_binary64`
58×	`exp-sum_binary64` `distribute-rgt-in_binary64`
51×	`exp-diff_binary64`
46×	`distribute-rgt-neg-out_binary64`
42×	`distribute-frac-neg_binary64`
41×	`neg-mul-1_binary64`
39×	`pow-plus_binary64` `sub-neg_binary64` `*-rgt-identity_binary64`
35×	`*-lft-identity_binary64`
33×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
29×	`remove-double-div_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`neg-sub0_binary64`
21×	`distribute-lft-neg-out_binary64`
18×	`/-rgt-identity_binary64`
17×	`cube-unmult_binary64` `cube-mult_binary64`
16×	`distribute-rgt-out_binary64`
15×	`distribute-lft-in_binary64`
14×	`exp-sqrt_binary64` `distribute-neg-in_binary64`
13×	`unsub-neg_binary64` `distribute-neg-frac_binary64`
12×	`rec-exp_binary64` `+-rgt-identity_binary64`
11×	`unpow1/2_binary64`
10×	`unpow2_binary64`
9×	`unpow1_binary64` `exp-neg_binary64`
8×	`exp-lft-sqr_binary64`
7×	`remove-double-neg_binary64` `associate-+l-_binary64`
6×	`+-commutative_binary64`
5×	`cube-div_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`
4×	`unpow-1_binary64` `associate--r+_binary64`
3×	`distribute-rgt-out--_binary64`
2×	`sub0-neg_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64`
1×	`exp-1-e_binary64` `exp-0_binary64` `--rgt-identity_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_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` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	27	18
2	63	18
3	86	18
4	110	18
5	163	18
6	285	18
7	674	18
8	2124	18
9	2067	18
10	2395	18
11	3858	18
12	4159	18
13	4773	18
14	4903	18
15	5282	18

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-*r/_binary64`
1×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

10.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 428 to 152 computations (64.5% saved)

series50.0ms (0.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

38.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 573 to 397 computations (30.7% saved)

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

406×	`times-frac_binary64`
367×	`*-commutative_binary64`
335×	`distribute-rgt-in_binary64`
308×	`distribute-lft-in_binary64`
284×	`sub-neg_binary64`
190×	`cancel-sign-sub-inv_binary64`
183×	`associate-+l+_binary64`
171×	`associate-l_binary64` `associate--l+_binary64`
146×	`associate-r_binary64`
143×	`unswap-sqr_binary64` `distribute-rgt-neg-in_binary64`
126×	`distribute-lft-neg-in_binary64`
117×	`associate--r+_binary64`
116×	`neg-mul-1_binary64`
112×	`exp-prod_binary64`
102×	`+-commutative_binary64`
94×	`sqr-pow_binary64`
92×	`associate-+r+_binary64`
72×	`unsub-neg_binary64`
61×	`associate-*l/_binary64`
54×	`distribute-neg-in_binary64`
52×	`neg-sub0_binary64`
46×	`distribute-rgt-out_binary64`
45×	`associate-*r/_binary64`
41×	`cube-prod_binary64`
37×	`*-rgt-identity_binary64`
33×	`*-lft-identity_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
31×	`distribute-rgt-out--_binary64`
28×	`div-sub_binary64`
27×	`log-prod_binary64` `associate-/l*_binary64`
22×	`associate-+l-_binary64`
21×	`exp-sum_binary64`
20×	`prod-exp_binary64`
18×	`distribute-lft-neg-out_binary64`
14×	`pow-sqr_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
13×	`+-rgt-identity_binary64`
12×	`unpow1/2_binary64`
11×	`unpow3_binary64`
10×	`exp-diff_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`sub0-neg_binary64`
6×	`pow-plus_binary64` `cube-mult_binary64`
5×	`div-exp_binary64` `rec-exp_binary64` `distribute-rgt1-in_binary64`
4×	`difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64`
3×	`cube-div_binary64` `distribute-neg-out_binary64` `associate-/r*_binary64` `associate--l-_binary64`
2×	`exp-neg_binary64` `count-2_binary64`
1×	`log-div_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `rgt-mult-inverse_binary64` `associate--r-_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` `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` `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` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

35 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	983
1	366	825
2	1269	763
3	3318	740
4	4777	740
5	4931	740

prune21.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	3	29

Error

Counts

29 → 3

Compiler

Compiled 463 to 217 computations (53.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
0.0b	(/.f64 1/2 (exp.f64 im))
0.0b	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
0.0b	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))

rewrite127.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`
16×	`add-cbrt-cube_binary64` `associate-l_binary64`
12×	`add-exp-log_binary64`
11×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `associate-r_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `unswap-sqr_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-*l/_binary64`

Counts

4 → 88

Calls

4 calls:

8.0ms	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
7.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
6.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
4.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 1931 to 983 computations (49.1% saved)

series158.0ms (2.6%)

Error

Counts

4 → 42

Calls

4 calls:

48.0ms	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
31.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
26.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
10.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 1892 to 1261 computations (33.4% saved)

simplify171.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

435×	`cancel-sign-sub-inv_binary64`
276×	`associate-*l/_binary64`
224×	`associate-r_binary64`
218×	`associate-l_binary64`
214×	`associate-/l*_binary64`
209×	`distribute-rgt-out_binary64`
207×	`sub-neg_binary64`
192×	`distribute-rgt-neg-in_binary64`
164×	`distribute-lft-neg-in_binary64`
139×	`*-commutative_binary64`
136×	`neg-mul-1_binary64`
135×	`neg-sub0_binary64`
111×	`sqr-pow_binary64` `distribute-rgt-in_binary64`
108×	`times-frac_binary64`
93×	`unswap-sqr_binary64`
91×	`+-commutative_binary64`
88×	`distribute-lft-out_binary64`
78×	`distribute-lft-in_binary64`
77×	`distribute-rgt-out--_binary64`
65×	`unsub-neg_binary64`
58×	`exp-prod_binary64`
55×	`associate-/r*_binary64`
49×	`associate--l+_binary64`
46×	`associate-+l+_binary64`
45×	`log-prod_binary64`
42×	`cube-prod_binary64`
40×	`distribute-lft-out--_binary64`
37×	`associate-+r+_binary64`
34×	`associate-*r/_binary64`
32×	`distribute-neg-in_binary64` `associate--r+_binary64`
31×	`swap-sqr_binary64`
29×	`-rgt-identity_binary64` `-lft-identity_binary64`
24×	`distribute-lft-neg-out_binary64`
23×	`associate-/l/_binary64`
22×	`unpow3_binary64`
20×	`log-div_binary64`
19×	`associate-/r/_binary64`
18×	`distribute-neg-frac_binary64`
16×	`cube-div_binary64`
15×	`pow-sqr_binary64`
12×	`cube-mult_binary64` `/-rgt-identity_binary64`
11×	`log-pow_binary64`
10×	`div-sub_binary64`
9×	`unpow1/2_binary64`
8×	`prod-exp_binary64`
7×	`distribute-rgt1-in_binary64`
5×	`cube-unmult_binary64`
4×	`pow-plus_binary64`
3×	`log-rec_binary64` `div-exp_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
2×	`rec-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `distribute-rgt-neg-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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `div0_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-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

130 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	230	2404
1	640	2234
2	1993	2164
3	4363	2159
4	4954	2159
5	4999	2159
6	4939	2159

prune82.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	80	2	82

Error

Counts

82 → 2

Compiler

Compiled 1539 to 811 computations (47.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (sin.f64 re) (exp.f64 im))
0.0b	(+.f64 (.f64 1/2 (/.f64 (sin.f64 re) (exp.f64 im))) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
0.0b	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))

rewrite77.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
9×	`times-frac_binary64`
8×	`pow1_binary64`
7×	`add-exp-log_binary64`
5×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-/r_binary64`
1×	`associate-r_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

3 → 56

Calls

3 calls:

8.0ms	(+.f64 (.f64 1/2 (/.f64 (sin.f64 re) (exp.f64 im))) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
7.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
4.0ms	(/.f64 (sin.f64 re) (exp.f64 im))

Compiler

Compiled 1256 to 541 computations (56.9% saved)

series131.0ms (2.2%)

Error

Counts

3 → 36

Calls

3 calls:

48.0ms	(+.f64 (.f64 1/2 (/.f64 (sin.f64 re) (exp.f64 im))) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
27.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
25.0ms	(/.f64 (sin.f64 re) (exp.f64 im))

Compiler

Compiled 1661 to 1083 computations (34.8% saved)

simplify100.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

596×	`times-frac_binary64`
334×	`cancel-sign-sub-inv_binary64`
228×	`associate-*l/_binary64`
215×	`associate-+l+_binary64`
211×	`associate-/l*_binary64`
181×	`associate--l+_binary64`
179×	`associate-r_binary64`
162×	`associate-*r/_binary64`
156×	`distribute-rgt-neg-in_binary64`
154×	`associate-l_binary64`
147×	`associate--r+_binary64`
134×	`distribute-lft-neg-in_binary64`
121×	`distribute-rgt-out_binary64`
109×	`*-commutative_binary64`
105×	`distribute-rgt-in_binary64`
102×	`sub-neg_binary64`
81×	`+-commutative_binary64`
77×	`distribute-lft-out_binary64`
76×	`distribute-lft-in_binary64`
56×	`associate-+l-_binary64`
48×	`associate-/l/_binary64`
47×	`associate-+r-_binary64`
45×	`associate-/r*_binary64`
43×	`sqr-pow_binary64`
41×	`neg-mul-1_binary64` `neg-sub0_binary64`
38×	`distribute-rgt-out--_binary64`
36×	`associate-+r+_binary64`
32×	`associate-/r/_binary64`
29×	`distribute-neg-in_binary64`
28×	`distribute-lft-out--_binary64`
27×	`distribute-neg-frac_binary64`
26×	`exp-prod_binary64`
23×	`distribute-lft-neg-out_binary64`
21×	`unsub-neg_binary64`
20×	`cube-div_binary64` `cube-prod_binary64`
18×	`swap-sqr_binary64`
16×	`log-div_binary64` `unswap-sqr_binary64`
14×	`unpow3_binary64`
13×	`log-prod_binary64`
9×	`cube-mult_binary64`
6×	`unpow1/2_binary64` `cube-unmult_binary64` `distribute-rgt1-in_binary64`
5×	`associate--l-_binary64`
4×	`prod-exp_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64`
3×	`exp-sum_binary64`
2×	`pow-plus_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-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-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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`

Counts

92 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	1926
1	557	1810
2	1680	1759
3	4522	1757
4	5221	1757

prune48.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Compiler

Compiled 1069 to 508 computations (52.5% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) -3)
0.0b	(/.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
0.0b	(pow.f64 (exp.f64 im) 3)
6.2b	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite206.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-/r/_binary64`
18×	`frac-add_binary64`
14×	`add-cbrt-cube_binary64` `exp-neg_binary64`
13×	`add-exp-log_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
12×	`neg-sub0_binary64` `exp-diff_binary64`
10×	`flip3--_binary64` `flip--_binary64`
8×	`pow-pow_binary64` `frac-times_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64` `exp-prod_binary64` `associate-*r/_binary64`
4×	`associate-*l/_binary64`
3×	`cube-prod_binary64` `prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `un-div-inv_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-out--_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

4 → 104

Calls

4 calls:

40.0ms	(/.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
7.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms	(pow.f64 (exp.f64 im) 3)
3.0ms	(pow.f64 (exp.f64 im) -3)

Compiler

Compiled 5793 to 1471 computations (74.6% saved)

series232.0ms (3.9%)

Error

Counts

4 → 30

Calls

4 calls:

144.0ms	(/.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
17.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
15.0ms	(pow.f64 (exp.f64 im) -3)
12.0ms	(pow.f64 (exp.f64 im) 3)

Compiler

Compiled 3029 to 1709 computations (43.6% saved)

simplify239.0ms (4%)

Algorithm

1×	egg-herbie

Rules

306×	`associate-l_binary64`
272×	`log-prod_binary64`
265×	`associate-r_binary64`
253×	`exp-prod_binary64`
201×	`prod-exp_binary64`
171×	`associate-/l*_binary64`
144×	`distribute-rgt-in_binary64`
141×	`div-exp_binary64`
139×	`log-pow_binary64`
129×	`sub-neg_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`
118×	`sqr-pow_binary64`
116×	`+-commutative_binary64`
106×	`div-sub_binary64`
97×	`cube-prod_binary64`
81×	`unpow3_binary64`
79×	`times-frac_binary64`
75×	`associate-*l/_binary64`
65×	`associate-*r/_binary64` `associate-+l+_binary64`
63×	`associate-/r*_binary64`
62×	`log-div_binary64`
61×	`associate-+r+_binary64`
53×	`cancel-sign-sub-inv_binary64`
50×	`associate-/l/_binary64`
48×	`neg-mul-1_binary64` `neg-sub0_binary64`
41×	`unswap-sqr_binary64`
38×	`unsub-neg_binary64` `*-rgt-identity_binary64`
37×	`associate--l+_binary64`
34×	`pow-plus_binary64`
32×	`distribute-rgt-neg-in_binary64`
29×	`cube-div_binary64`
27×	`distribute-lft-neg-in_binary64` `associate-/r/_binary64`
26×	`associate--r+_binary64`
24×	`pow-sqr_binary64`
22×	`distribute-rgt-out_binary64`
19×	`*-lft-identity_binary64`
17×	`cube-unmult_binary64` `distribute-neg-in_binary64`
14×	`difference-of-sqr--1_binary64` `swap-sqr_binary64`
11×	`cube-mult_binary64` `rem-sqrt-square_binary64`
9×	`log-rec_binary64`
8×	`associate-+r-_binary64`
7×	`exp-sum_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64`
6×	`exp-to-pow_binary64` `difference-of-squares_binary64`
5×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `rec-exp_binary64` `exp-diff_binary64` `+-rgt-identity_binary64`
3×	`pow-base-1_binary64` `unpow1_binary64` `rem-log-exp_binary64` `sub0-neg_binary64`
2×	`/-rgt-identity_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `mul0-lft_binary64` `lft-mult-inverse_binary64` `distribute-neg-out_binary64` `distribute-rgt1-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` `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` `pow-base-0_binary64` `unpow1/3_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` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

134 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	348	5446
1	842	3881
2	3470	3772
3	4382	3770
4	4791	3770
5	4955	3770
6	4871	3770

prune104.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Error

Counts

104 → 2

Compiler

Compiled 2767 to 1318 computations (52.4% saved)

regimes609.0ms (10.2%)

Accuracy

Total 0.0b remaining (13.5%)

Threshold costs 0.0b (13.5%)

Compiler

Compiled 8140 to 6067 computations (25.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	13	24
2	13	24

end1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

sample2.8s (46.5%)

Algorithm

1×

intervals

Results

752.0ms	1995×	body	1024	valid
472.0ms	1868×	body	1024	invalid
306.0ms	4527×	body	128	valid
195.0ms	972×	body	512	valid
177.0ms	967×	body	512	invalid
162.0ms	2555×	body	128	invalid
68.0ms	524×	body	256	invalid
63.0ms	499×	body	256	valid
6.0ms	7×	body	2048	valid

Compiler

Compiled 81 to 65 computations (19.8% saved)

Details

analyze462.0ms (7.7%)

sample85.0ms (1.4%)

simplify119.0ms (2%)

prune7.0ms (0.1%)

localize10.0ms (0.2%)

rewrite28.0ms (0.5%)

series50.0ms (0.8%)

simplify88.0ms (1.5%)

prune21.0ms (0.4%)

localize11.0ms (0.2%)

rewrite127.0ms (2.1%)

series158.0ms (2.6%)

simplify171.0ms (2.9%)

prune82.0ms (1.4%)

localize11.0ms (0.2%)

rewrite77.0ms (1.3%)

series131.0ms (2.2%)

simplify100.0ms (1.7%)

prune48.0ms (0.8%)

localize22.0ms (0.4%)

rewrite206.0ms (3.4%)

series232.0ms (3.9%)

simplify239.0ms (4%)

prune104.0ms (1.7%)

regimes609.0ms (10.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.8s (46.5%)

Profiling