Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify168.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_420`
10×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
5×	`pow1_binary64_472`
4×	`log-pow_binary64_500` `associate-/r*_binary64_360`
3×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `associate-/l*_binary64_361`
1×	`clear-num_binary64_413` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `add-log-exp_binary64_450` `frac-2neg_binary64_425` `div-exp_binary64_462`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

series59.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

59.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

simplify105.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5096	518

prune41.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	25	9	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	9	35

Merged error: 0.0b

Counts

35 → 9

Compiler

Compiled 532 to 322 computations (39.5% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.7b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite46.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64_435`
85×	`times-frac_binary64_420`
52×	`*-un-lft-identity_binary64_414`
51×	`sqrt-prod_binary64_429`
46×	`add-cube-cbrt_binary64_446`
26×	`add-exp-log_binary64_449`
25×	`associate-l_binary64_357` `associate-r_binary64_356`
16×	`add-cbrt-cube_binary64_447`
15×	`unswap-sqr_binary64_382`
14×	`pow1_binary64_472`
10×	`log-pow_binary64_500`
9×	`div-exp_binary64_462`
8×	`prod-exp_binary64_460`
7×	`associate-/r*_binary64_360`
5×	`cbrt-undiv_binary64_445`
4×	`cbrt-unprod_binary64_444`
3×	`div-inv_binary64_411` `associate-/l*_binary64_361`
2×	`1-exp_binary64_455` `rec-exp_binary64_461` `add-log-exp_binary64_450`
1×	`clear-num_binary64_413` `associate-l/_binary64_359` `-commutative_binary64_347` `pow-prod-down_binary64_482` `frac-2neg_binary64_425` `frac-times_binary64_424` `associate-*r/_binary64_358`

Counts

2 → 132

Calls

2 calls:

24.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
5.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

series142.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

88.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
54.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify92.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5034	2592

prune159.0ms (6.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	139	8	147

Merged error: 0.0b

Counts

147 → 8

Compiler

Compiled 2652 to 1898 computations (28.4% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.7b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite46.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64_449`
46×	`times-frac_binary64_420`
43×	`add-sqr-sqrt_binary64_435`
40×	`prod-exp_binary64_460`
33×	`*-un-lft-identity_binary64_414`
31×	`add-cube-cbrt_binary64_446`
28×	`add-cbrt-cube_binary64_447` `associate-l_binary64_357`
26×	`sqrt-prod_binary64_429` `associate-r_binary64_356`
20×	`div-exp_binary64_462`
15×	`pow1_binary64_472`
12×	`cbrt-unprod_binary64_444`
10×	`1-exp_binary64_455` `rec-exp_binary64_461`
6×	`log-pow_binary64_500` `cbrt-undiv_binary64_445`
5×	`unswap-sqr_binary64_382` `associate-*r/_binary64_358`
4×	`pow-prod-down_binary64_482`
3×	`un-div-inv_binary64_412`
2×	`div-inv_binary64_411` `*-commutative_binary64_347` `add-log-exp_binary64_450` `frac-times_binary64_424`
1×	`associate-*l/_binary64_359`

Counts

2 → 117

Calls

2 calls:

18.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
13.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series159.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
61.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify121.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4735	1642
1	4735	1642

prune127.0ms (4.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	125	6	131

Merged error: 0.0b

Counts

131 → 6

Compiler

Compiled 2002 to 1569 computations (21.6% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.7b	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
0.8b	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite49.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64_429`
48×	`add-sqr-sqrt_binary64_435`
46×	`times-frac_binary64_420`
35×	`*-un-lft-identity_binary64_414`
34×	`add-exp-log_binary64_449`
33×	`add-cube-cbrt_binary64_446`
31×	`associate-l_binary64_357`
30×	`unpow-prod-down_binary64_490` `associate-r_binary64_356`
19×	`prod-exp_binary64_460`
10×	`pow1_binary64_472`
9×	`add-cbrt-cube_binary64_447`
8×	`pow-exp_binary64_479`
7×	`unswap-sqr_binary64_382`
6×	`log-pow_binary64_500`
4×	`cbrt-unprod_binary64_444` `div-exp_binary64_462`
2×	`1-exp_binary64_455` `div-inv_binary64_411` `*-commutative_binary64_347` `sqr-pow_binary64_386` `pow-to-exp_binary64_480` `rec-exp_binary64_461` `add-log-exp_binary64_450`
1×	`sqrt-div_binary64_430` `associate-*l/_binary64_359` `pow-prod-down_binary64_482`

Counts

2 → 102

Calls

2 calls:

21.0ms	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
16.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series260.0ms (10.1%)

Counts

2 → 6

Calls

2 calls:

196.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
64.0ms	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5536	2642

prune178.0ms (6.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

Compiler

Compiled 2727 to 2335 computations (14.4% saved)

regimes56.0ms (2.2%)

Compiler: Compiled 350 to 354 computations (-1.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	29
1	17	29

end0.0ms (0%)

sample647.0ms (25%)

Algorithm

1×

intervals

Results

325.0ms

8000×

body

128

valid

Compiler

Compiled 107 to 109 computations (-1.9% saved)

Details

analyze4.0ms (0.2%)

sample17.0ms (0.6%)

simplify168.0ms (6.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series59.0ms (2.3%)

simplify105.0ms (4.1%)

prune41.0ms (1.6%)

localize9.0ms (0.3%)

rewrite46.0ms (1.8%)

series142.0ms (5.5%)

simplify92.0ms (3.5%)

prune159.0ms (6.1%)

localize9.0ms (0.3%)

rewrite46.0ms (1.8%)

series159.0ms (6.1%)

simplify121.0ms (4.7%)

prune127.0ms (4.9%)

localize13.0ms (0.5%)

rewrite49.0ms (1.9%)

series260.0ms (10.1%)

simplify63.0ms (2.4%)

prune178.0ms (6.9%)

regimes56.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample647.0ms (25%)

Profiling