Details

analyze458.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

600×	`times-frac_binary64`
546×	`sub-neg_binary64`
532×	`div-sub_binary64`
468×	`associate-/l*_binary64`
396×	`associate-/r*_binary64`
346×	`distribute-rgt-neg-in_binary64`
332×	`cancel-sign-sub-inv_binary64`
312×	`neg-mul-1_binary64`
282×	`neg-sub0_binary64`
268×	`associate-/l/_binary64`
212×	`distribute-lft-neg-in_binary64`
158×	`*-commutative_binary64`
154×	`distribute-lft-neg-out_binary64`
146×	`distribute-rgt-in_binary64`
144×	`associate-/r/_binary64`
132×	`unsub-neg_binary64`
130×	`associate-l_binary64`
124×	`unswap-sqr_binary64` `distribute-rgt-neg-out_binary64`
120×	`associate-r_binary64`
104×	`distribute-lft-in_binary64`
96×	`div0_binary64` `sqr-pow_binary64`
94×	`distribute-neg-in_binary64`
70×	`remove-double-neg_binary64`
60×	`difference-of-squares_binary64`
58×	`associate-*l/_binary64`
56×	`sub0-neg_binary64` `associate--r+_binary64`
48×	`associate-*r/_binary64`
46×	`pow-sqr_binary64`
42×	`*-lft-identity_binary64`
36×	`*-rgt-identity_binary64`
34×	`exp-prod_binary64`
32×	`cube-prod_binary64` `distribute-neg-frac_binary64` `associate-+l-_binary64`
22×	`mul0-rgt_binary64` `mul0-lft_binary64`
18×	`mul-1-neg_binary64` `distribute-rgt-out--_binary64` `+-commutative_binary64`
16×	`swap-sqr_binary64`
14×	`exp-sum_binary64` `cube-unmult_binary64` `--rgt-identity_binary64`
12×	`pow-plus_binary64` `prod-exp_binary64` `/-rgt-identity_binary64`
10×	`unpow3_binary64` `exp-diff_binary64`
8×	`unpow2_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `associate--l+_binary64`
6×	`unpow1_binary64` `rec-exp_binary64` `+-lft-identity_binary64` `associate-+l+_binary64`
4×	`sin-neg_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
2×	`unpow1/2_binary64` `exp-neg_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	39	36
2	89	36
3	191	36
4	365	36
5	741	36
6	1136	36
7	1955	36
8	3892	36
9	4326	36
10	4761	36
11	4722	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
12.5%	87.4%	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 12 to 11 computations (8.3% saved)

sample120.0ms (1.2%)

Algorithm

1×

intervals

Results

52.0ms	135×	body	1024	valid
17.0ms	59×	body	1024	invalid
14.0ms	67×	body	512	valid
5.0ms	38×	body	256	valid
5.0ms	73×	body	128	invalid
4.0ms	26×	body	512	invalid
2.0ms	17×	body	256	invalid
2.0ms	3×	body	2048	valid
1.0ms	13×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

635×	`unswap-sqr_binary64`
444×	`times-frac_binary64`
365×	`distribute-rgt-neg-in_binary64`
359×	`neg-mul-1_binary64`
346×	`neg-sub0_binary64`
309×	`div-sub_binary64`
297×	`cancel-sign-sub-inv_binary64`
293×	`unsub-neg_binary64`
282×	`sub-neg_binary64`
271×	`associate-/l*_binary64`
262×	`associate-/r*_binary64`
256×	`distribute-lft-neg-in_binary64`
184×	`associate-l_binary64`
171×	`distribute-rgt-in_binary64`
169×	`remove-double-neg_binary64`
167×	`distribute-neg-frac_binary64`
160×	`distribute-lft-neg-out_binary64` `*-commutative_binary64`
148×	`associate-r_binary64`
147×	`distribute-rgt-neg-out_binary64`
137×	`distribute-lft-in_binary64`
134×	`associate-/l/_binary64`
88×	`difference-of-squares_binary64`
72×	`associate-/r/_binary64`
67×	`div0_binary64`
65×	`distribute-neg-in_binary64`
60×	`sqr-pow_binary64` `distribute-frac-neg_binary64`
50×	`mul0-rgt_binary64` `mul0-lft_binary64`
37×	`associate--r+_binary64`
30×	`cube-prod_binary64`
29×	`associate-*l/_binary64`
27×	`*-lft-identity_binary64` `pow-sqr_binary64`
24×	`associate-*r/_binary64`
23×	`associate-+l-_binary64`
21×	`+-commutative_binary64`
20×	`*-rgt-identity_binary64`
18×	`swap-sqr_binary64`
15×	`exp-prod_binary64`
14×	`pow-plus_binary64`
13×	`cube-unmult_binary64` `sub0-neg_binary64`
12×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
9×	`mul-1-neg_binary64`
7×	`exp-sum_binary64` `--rgt-identity_binary64`
6×	`/-rgt-identity_binary64` `associate--l+_binary64`
4×	`exp-sqrt_binary64` `exp-diff_binary64` `sqr-neg_binary64`
3×	`unpow3_binary64` `unpow2_binary64` `exp-lft-sqr_binary64` `+-lft-identity_binary64`
2×	`rec-exp_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64` `associate-+r-_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	23	18
2	49	18
3	101	18
4	193	18
5	388	18
6	777	18
7	1370	18
8	3116	18
9	3951	18
10	4793	18

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

41.7b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.4b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite107.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

41.6b

Rules

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

Counts

2 → 46

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
10.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 873 to 289 computations (66.9% saved)

series55.0ms (0.5%)

Error

0.1b

Counts

2 → 15

Calls

2 calls:

31.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 531 to 409 computations (23% saved)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

703×	`times-frac_binary64`
386×	`*-commutative_binary64`
318×	`exp-prod_binary64`
251×	`distribute-rgt-in_binary64`
227×	`unsub-neg_binary64`
213×	`distribute-lft-in_binary64`
191×	`sub-neg_binary64`
179×	`associate-l_binary64`
157×	`neg-mul-1_binary64`
151×	`neg-sub0_binary64` `associate-r_binary64`
115×	`associate-+r+_binary64`
109×	`div-sub_binary64`
92×	`associate-+l+_binary64`
88×	`distribute-neg-in_binary64`
85×	`sqr-pow_binary64`
82×	`distribute-rgt-neg-in_binary64`
80×	`distribute-lft-neg-in_binary64`
72×	`cancel-sign-sub-inv_binary64` `associate-+r-_binary64`
68×	`associate--r+_binary64`
67×	`unswap-sqr_binary64`
62×	`+-commutative_binary64`
61×	`associate-+l-_binary64`
56×	`exp-sum_binary64`
48×	`exp-diff_binary64`
35×	`distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`
33×	`*-lft-identity_binary64` `sub0-neg_binary64`
32×	`cube-prod_binary64` `distribute-lft-neg-out_binary64`
30×	`*-rgt-identity_binary64`
28×	`associate--l+_binary64`
27×	`swap-sqr_binary64`
25×	`cancel-sign-sub_binary64`
21×	`log-prod_binary64` `associate-/r*_binary64`
19×	`+-rgt-identity_binary64` `distribute-rgt-out_binary64`
18×	`difference-of-squares_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--l-_binary64`
16×	`mul0-lft_binary64`
15×	`unpow3_binary64` `mul0-rgt_binary64`
14×	`pow-sqr_binary64` `distribute-lft-out_binary64`
13×	`rem-sqrt-square_binary64`
11×	`exp-neg_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64` `associate-/l*_binary64`
9×	`prod-exp_binary64`
8×	`cube-div_binary64`
7×	`unpow1/2_binary64` `sqr-neg_binary64`
4×	`rec-exp_binary64` `--rgt-identity_binary64`
3×	`div-exp_binary64` `cube-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`unpow1_binary64` `mul-1-neg_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `lft-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` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_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` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

61 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1305
1	365	1120
2	1216	1099
3	2819	1099
4	4459	1099
5	4898	1099

prune32.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Error

0.1b

Counts

48 → 5

Compiler

Compiled 574 to 285 computations (50.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite275.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64`
29×	`associate-r_binary64`
24×	`add-exp-log_binary64`
15×	`add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`prod-exp_binary64` `unpow-prod-down_binary64` `associate--l+_binary64`
10×	`unswap-sqr_binary64` `associate-l_binary64`
9×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `sqr-pow_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64`
4×	`add-log-exp_binary64` `cube-prod_binary64` `*-commutative_binary64`
3×	`pow-to-exp_binary64` `pow-exp_binary64` `pow-prod-down_binary64`
2×	`associate-*r/_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 113

Calls

4 calls:

13.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
6.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 1/60 (pow.f64 im 5))
5.0ms	(*.f64 1/2520 (pow.f64 im 7))

Compiler

Compiled 3611 to 2819 computations (21.9% saved)

series114.0ms (1.1%)

Error

0.1b

Counts

4 → 19

Calls

4 calls:

67.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
13.0ms	(*.f64 1/60 (pow.f64 im 5))
12.0ms	(*.f64 1/2520 (pow.f64 im 7))
10.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1113 to 918 computations (17.5% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

496×	`distribute-rgt-in_binary64`
450×	`distribute-lft-in_binary64`
332×	`associate-l_binary64`
329×	`associate-r_binary64`
231×	`cancel-sign-sub-inv_binary64`
216×	`*-commutative_binary64`
169×	`distribute-rgt-neg-in_binary64`
163×	`distribute-lft-neg-in_binary64`
105×	`unswap-sqr_binary64`
82×	`sub-neg_binary64`
69×	`sqr-pow_binary64`
63×	`distribute-neg-in_binary64`
57×	`+-commutative_binary64`
54×	`log-prod_binary64`
50×	`neg-sub0_binary64`
45×	`exp-prod_binary64` `neg-mul-1_binary64`
40×	`distribute-rgt-out_binary64`
38×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64` `associate-+r+_binary64`
37×	`cube-prod_binary64`
36×	`unsub-neg_binary64`
32×	`distribute-rgt-neg-out_binary64`
31×	`associate-+l+_binary64`
19×	`distribute-lft-out_binary64`
17×	`*-rgt-identity_binary64`
15×	`cube-unmult_binary64` `*-lft-identity_binary64` `associate--r+_binary64`
13×	`associate--l+_binary64`
11×	`pow-sqr_binary64`
9×	`log-pow_binary64` `unpow3_binary64` `associate--l-_binary64`
8×	`distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
7×	`exp-diff_binary64` `cube-mult_binary64` `div-sub_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
5×	`exp-sum_binary64` `rem-sqrt-square_binary64`
4×	`mul-1-neg_binary64`
3×	`pow-plus_binary64` `sub0-neg_binary64` `difference-of-squares_binary64`
1×	`unpow1/3_binary64` `unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_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` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

132 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	2849
1	685	2563
2	2296	2526
3	5175	2526

prune138.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	93	10	103

Error

0.0b

Counts

103 → 10

Compiler

Compiled 2412 to 1899 computations (21.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (sin.f64 re) 1/2) (+.f64 (.f64 (pow.f64 im 7) -1/2520) (+.f64 (.f64 (pow.f64 im 5) -1/60) (*.f64 (pow.f64 im 3) -1/3))))
0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(*.f64 im (sin.f64 re))
0.1b	(*.f64 (pow.f64 im 3) -1/3)

rewrite238.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64`
23×	`associate-l_binary64`
21×	`add-exp-log_binary64`
15×	`add-cbrt-cube_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`associate-r_binary64`
11×	`pow1_binary64`
10×	`prod-exp_binary64`
8×	`unpow-prod-down_binary64` `unswap-sqr_binary64`
6×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `cube-prod_binary64` `sqr-pow_binary64` `*-commutative_binary64` `pow-prod-down_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `associate-*r/_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 96

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 re) 1/2) (+.f64 (.f64 (pow.f64 im 7) -1/2520) (+.f64 (.f64 (pow.f64 im 5) -1/60) (*.f64 (pow.f64 im 3) -1/3))))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)
5.0ms	(*.f64 (pow.f64 im 5) -1/60)
4.0ms	(*.f64 im (sin.f64 re))

Compiler

Compiled 3144 to 2148 computations (31.7% saved)

series135.0ms (1.3%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

60.0ms	(.f64 (.f64 (sin.f64 re) 1/2) (+.f64 (.f64 (pow.f64 im 7) -1/2520) (+.f64 (.f64 (pow.f64 im 5) -1/60) (*.f64 (pow.f64 im 3) -1/3))))
27.0ms	(*.f64 im (sin.f64 re))
12.0ms	(*.f64 (pow.f64 im 5) -1/60)
11.0ms	(*.f64 (pow.f64 im 3) -1/3)

Compiler

Compiled 1385 to 1076 computations (22.3% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

850×	`distribute-rgt-in_binary64`
413×	`associate-l_binary64`
355×	`associate-r_binary64`
186×	`log-prod_binary64`
179×	`*-commutative_binary64`
143×	`distribute-rgt-neg-in_binary64`
130×	`exp-prod_binary64` `unswap-sqr_binary64`
126×	`distribute-lft-neg-in_binary64`
104×	`distribute-lft-in_binary64`
98×	`cancel-sign-sub-inv_binary64`
76×	`sqr-pow_binary64`
67×	`cube-prod_binary64`
62×	`swap-sqr_binary64`
37×	`distribute-neg-in_binary64`
36×	`*-rgt-identity_binary64`
35×	`*-lft-identity_binary64`
30×	`neg-sub0_binary64` `+-commutative_binary64`
28×	`neg-mul-1_binary64`
23×	`distribute-rgt-out_binary64`
21×	`sub-neg_binary64`
17×	`log-pow_binary64`
16×	`cube-unmult_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`exp-sum_binary64` `distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
11×	`unsub-neg_binary64`
10×	`unpow3_binary64` `associate-+l+_binary64`
9×	`pow-sqr_binary64` `associate--r+_binary64`
8×	`distribute-lft-out_binary64`
7×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
5×	`rem-sqrt-square_binary64`
4×	`pow-plus_binary64`
2×	`mul-1-neg_binary64`
1×	`unpow1/2_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

117 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2043
1	552	1788
2	2322	1777
3	4880	1777
4	4932	1777

prune150.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Error

0.0b

Counts

95 → 10

Compiler

Compiled 2366 to 1664 computations (29.7% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (*.f64 (pow.f64 im 7) 1/2520))))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

rewrite417.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (*.f64 (pow.f64 im 7) 1/2520))))
11.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))
9.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))
9.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

Compiler

Compiled 8501 to 6948 computations (18.3% saved)

series327.0ms (3.2%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

76.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (*.f64 (pow.f64 im 7) 1/2520))))
53.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))
52.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
52.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))

Compiler

Compiled 6153 to 5291 computations (14% saved)

simplify254.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64`
342×	`*-commutative_binary64`
320×	`cancel-sign-sub-inv_binary64`
149×	`sub-neg_binary64`
148×	`associate-r_binary64`
132×	`distribute-lft-in_binary64`
131×	`distribute-rgt-in_binary64`
125×	`times-frac_binary64`
121×	`associate-l_binary64`
118×	`sqr-pow_binary64`
106×	`exp-prod_binary64`
104×	`associate-/l*_binary64`
103×	`distribute-rgt-neg-in_binary64`
98×	`distribute-lft-neg-in_binary64`
97×	`neg-mul-1_binary64` `neg-sub0_binary64`
83×	`unsub-neg_binary64`
79×	`+-commutative_binary64`
76×	`associate-/r*_binary64`
72×	`associate-+l+_binary64`
68×	`associate-+r+_binary64`
60×	`exp-sum_binary64`
57×	`distribute-rgt-out_binary64`
49×	`swap-sqr_binary64`
46×	`log-prod_binary64`
32×	`associate-*l/_binary64`
29×	`associate-+r-_binary64`
28×	`associate--l+_binary64`
26×	`pow-sqr_binary64` `associate-/r/_binary64` `associate-*r/_binary64`
24×	`cube-prod_binary64` `distribute-lft-out_binary64`
23×	`associate-+l-_binary64`
21×	`distribute-lft-neg-out_binary64`
20×	`distribute-rgt-neg-out_binary64`
19×	`unpow1/3_binary64` `exp-to-pow_binary64` `exp-diff_binary64`
18×	`div-sub_binary64` `*-lft-identity_binary64` `+-rgt-identity_binary64`
17×	`*-rgt-identity_binary64`
13×	`log-pow_binary64`
12×	`unpow3_binary64` `pow-plus_binary64`
11×	`sub0-neg_binary64`
10×	`cube-unmult_binary64`
9×	`remove-double-neg_binary64` `associate-/l/_binary64` `associate--l-_binary64`
8×	`exp-neg_binary64` `cube-mult_binary64` `associate--r+_binary64`
7×	`log-div_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
6×	`distribute-lft-out--_binary64`
5×	`rem-exp-log_binary64` `distribute-neg-in_binary64`
4×	`associate--r-_binary64`
3×	`log-rec_binary64` `unpow1/2_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `sqr-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

121 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	8195
1	509	7819
2	1336	6526
3	3313	6243
4	4953	6243
5	4906	6243

prune326.0ms (3.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	106	12	118

Error

0.0b

Counts

118 → 12

Compiler

Compiled 7882 to 6415 computations (18.6% saved)

regimes1.9s (18.9%)

Accuracy

Total 0.7b remaining (92.1%)

Threshold costs 0.7b (92.1%)

Compiler

Compiled 37004 to 31027 computations (16.2% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
16×	`+-commutative_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
9×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
5×	`cancel-sign-sub-inv_binary64`
4×	`unsub-neg_binary64` `distribute-neg-out_binary64`
2×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-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` `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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	47
1	55	47
2	75	47
3	95	47
4	109	47
5	119	47
6	131	47
7	136	47
8	139	47
9	140	47
10	136	47

end1.0ms (0%)

Compiler: Compiled 31 to 26 computations (16.1% saved)

sample4.6s (45.3%)

Algorithm

1×

intervals

Results

1.7s	4066×	body	1024	valid
463.0ms	1880×	body	1024	invalid
441.0ms	1991×	body	512	valid
177.0ms	2633×	body	128	invalid
175.0ms	976×	body	512	invalid
147.0ms	1033×	body	256	valid
136.0ms	240×	body	2048	valid
68.0ms	529×	body	256	invalid
49.0ms	670×	body	128	valid

Compiler

Compiled 761 to 638 computations (16.2% saved)

Iter	Nodes	Cost
0	26	47
1	55	47
2	75	47
3	95	47
4	109	47
5	119	47
6	131	47
7	136	47
8	139	47
9	140	47
10	136	47

Iter	Nodes	Cost
0	26	47
1	55	47
2	75	47
3	95	47
4	109	47
5	119	47
6	131	47
7	136	47
8	139	47
9	140	47
10	136	47

Details

analyze458.0ms (4.5%)

sample120.0ms (1.2%)

simplify72.0ms (0.7%)

prune1.0ms (0%)

localize9.0ms (0.1%)

rewrite107.0ms (1.1%)

series55.0ms (0.5%)

simplify97.0ms (1%)

prune32.0ms (0.3%)

localize20.0ms (0.2%)

rewrite275.0ms (2.7%)

series114.0ms (1.1%)

simplify94.0ms (0.9%)

prune138.0ms (1.4%)

localize22.0ms (0.2%)

rewrite238.0ms (2.4%)

series135.0ms (1.3%)

simplify109.0ms (1.1%)

prune150.0ms (1.5%)

localize34.0ms (0.3%)

rewrite417.0ms (4.1%)

series327.0ms (3.2%)

simplify254.0ms (2.5%)

prune326.0ms (3.2%)

regimes1.9s (18.9%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample4.6s (45.3%)

Profiling

Iter	Nodes	Cost
0	26	47
1	55	47
2	75	47
3	95	47
4	109	47
5	119	47
6	131	47
7	136	47
8	139	47
9	140	47
10	136	47