Details

analyze348.0ms (5.5%)

Algorithm

1×

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)

sample88.0ms (1.4%)

Algorithm

1×

intervals

Results

29.0ms	80×	body	1024	valid
16.0ms	69×	body	1024	invalid
9.0ms	141×	body	128	valid
7.0ms	42×	body	512	invalid
6.0ms	98×	body	128	invalid
4.0ms	23×	body	512	valid
2.0ms	16×	body	256	invalid
2.0ms	12×	body	256	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify206.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5282	18

prune4.0ms (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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.3b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
4×	`add-log-exp_binary64_117` `associate-r_binary64_18`
3×	`add-sqr-sqrt_binary64_100` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `pow-prod-down_binary64_149`
2×	`flip-+_binary64_52` `associate-*r/_binary64_20` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `distribute-lft-in_binary64_27` `-commutative_binary64_9` `associate-l*_binary64_19` `distribute-rgt-in_binary64_28` `sum-log_binary64_169`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series81.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
15.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4978	719
1	4978	719

prune38.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0.2b

Counts

42 → 4

Compiler

Compiled 738 to 305 computations (58.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
0.3b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
0.3b	(log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_78`
12×	`log-prod_binary64_164`
11×	`pow1_binary64_139`
9×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
8×	`exp-sum_binary64_124` `add-exp-log_binary64_116`
7×	`associate-r_binary64_18`
6×	`add-log-exp_binary64_117` `log-div_binary64_165`
4×	`flip-+_binary64_52` `exp-diff_binary64_126` `exp-prod_binary64_130` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`associate-*r/_binary64_20` `log-pow_binary64_167`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `associate-l*_binary64_19` `rem-exp-log_binary64_118` `rem-log-exp_binary64_119` `sum-log_binary64_169`

Counts

4 → 69

Calls

4 calls:

15.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
7.0ms	(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
6.0ms	(log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series291.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
91.0ms	(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
72.0ms	(log.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
14.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4858	1329
1	4858	1329

prune68.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Merged error: 0.2b

Counts

85 → 4

Compiler

Compiled 1487 to 572 computations (61.5% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
0.2b	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.5b	(/.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)))))
3.8b	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite98.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`exp-prod_binary64_130`
51×	`*-un-lft-identity_binary64_78`
38×	`add-sqr-sqrt_binary64_100`
34×	`add-cube-cbrt_binary64_113`
27×	`distribute-rgt-neg-in_binary64_36`
23×	`distribute-lft-neg-in_binary64_35` `exp-neg_binary64_125`
20×	`pow-prod-down_binary64_149` `associate-/r/_binary64_24`
19×	`exp-diff_binary64_126` `neg-sub0_binary64_73`
18×	`frac-add_binary64_86`
17×	`add-cbrt-cube_binary64_114` `pow-prod-up_binary64_148`
13×	`pow-sqr_binary64_51` `add-exp-log_binary64_116` `pow1_binary64_139`
12×	`frac-times_binary64_88`
10×	`flip3--_binary64_82` `flip--_binary64_53`
9×	`neg-mul-1_binary64_74`
8×	`associate-l/_binary64_21` `associate-r/_binary64_20`
6×	`associate-l_binary64_19` `add-log-exp_binary64_117` `associate-r_binary64_18`
5×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
3×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `swap-sqr_binary64_45` `un-div-inv_binary64_76` `times-frac_binary64_84` `associate-/r*_binary64_22`
2×	`*-commutative_binary64_9` `flip-+_binary64_52` `unswap-sqr_binary64_46` `associate-/l/_binary64_25` `flip3-+_binary64_81`
1×	`pow2_binary64_159` `diff-log_binary64_170` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l*_binary64_23` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `pow-plus_binary64_141` `distribute-rgt-out--_binary64_32` `lft-mult-inverse_binary64_56` `sub-neg_binary64_71`

Counts

4 → 159

Calls

4 calls:

38.0ms	(/.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)))))
15.0ms	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
9.0ms	(*.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)))

series489.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

405.0ms	(/.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)))))
40.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
29.0ms	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
15.0ms	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5190	3050

prune273.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	170	5	175

Merged error: 0.2b

Counts

175 → 5

Compiler

Compiled 6676 to 2715 computations (59.3% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (sin.f64 re))) (-.f64 (exp.f64 (.f64 im -4)) (.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (+.f64 (pow.f64 (exp.f64 im) 2) -1))))
3.5b	(+.f64 (pow.f64 (exp.f64 im) 2) -1)
3.5b	(+.f64 (pow.f64 (exp.f64 im) 2) -1)
3.8b	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
12×	`add-sqr-sqrt_binary64_100`
10×	`add-log-exp_binary64_117` `*-un-lft-identity_binary64_78`
8×	`difference-of-sqr--1_binary64_49`
6×	`add-cube-cbrt_binary64_113`
4×	`times-frac_binary64_84` `associate-/r*_binary64_22` `pow1_binary64_139`
3×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `flip-+_binary64_52` `flip3-+_binary64_81`
2×	`+-commutative_binary64_8` `unpow-prod-down_binary64_157` `flip3--_binary64_82` `unpow2_binary64_143` `sqr-pow_binary64_50` `flip--_binary64_53` `associate-*l/_binary64_21` `difference-of-squares_binary64_47` `associate-/r/_binary64_24` `distribute-lft-out_binary64_29` `associate-/l/_binary64_25` `sum-log_binary64_169`
1×	`diff-log_binary64_170` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l*_binary64_23` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-out--_binary64_32` `sub-neg_binary64_71`

Counts

4 → 74

Calls

4 calls:

17.0ms	(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (sin.f64 re))) (-.f64 (exp.f64 (.f64 im -4)) (.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (+.f64 (pow.f64 (exp.f64 im) 2) -1))))
7.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)
6.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

series434.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

358.0ms	(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (sin.f64 re))) (-.f64 (exp.f64 (.f64 im -4)) (.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (+.f64 (pow.f64 (exp.f64 im) 2) -1))))
43.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
16.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)
16.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5033	2439

prune202.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	5	91

Merged error: 0.2b

Counts

91 → 5

Compiler

Compiled 5152 to 2454 computations (52.4% saved)

regimes250.0ms (4%)

Compiler: Compiled 3600 to 2310 computations (35.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms (0%)

sample2.9s (46.6%)

Algorithm

1×

intervals

Results

718.0ms	1990×	body	1024	valid
471.0ms	1952×	body	1024	invalid
297.0ms	4555×	body	128	valid
190.0ms	1007×	body	512	valid
180.0ms	1052×	body	512	invalid
173.0ms	2528×	body	128	invalid
56.0ms	479×	body	256	invalid
54.0ms	445×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 617 to 401 computations (35% saved)

Details

analyze348.0ms (5.5%)

sample88.0ms (1.4%)

simplify206.0ms (3.3%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite18.0ms (0.3%)

series81.0ms (1.3%)

simplify83.0ms (1.3%)

prune38.0ms (0.6%)

localize13.0ms (0.2%)

rewrite39.0ms (0.6%)

series291.0ms (4.6%)

simplify90.0ms (1.4%)

prune68.0ms (1.1%)

localize22.0ms (0.4%)

rewrite98.0ms (1.6%)

series489.0ms (7.8%)

simplify75.0ms (1.2%)

prune273.0ms (4.3%)

localize28.0ms (0.4%)

rewrite47.0ms (0.7%)

series434.0ms (6.9%)

simplify75.0ms (1.2%)

prune202.0ms (3.2%)

regimes250.0ms (4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.9s (46.6%)

Profiling