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)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune7.0ms (0.3%)

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: 0.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `log-pow_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
1×	`add-log-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 31

Calls

1 calls:

4.0ms

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

series56.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify110.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5099	518

prune73.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Merged error: 0.1b

Counts

35 → 7

Compiler

Compiled 1026 to 713 computations (30.5% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite48.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64`
85×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
51×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64` `associate-l_binary64`
21×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
14×	`pow1_binary64`
10×	`log-pow_binary64`
7×	`associate-/r*_binary64`
6×	`prod-exp_binary64` `div-exp_binary64`
5×	`cbrt-undiv_binary64`
4×	`cbrt-unprod_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `rec-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 130

Calls

2 calls:

27.0ms	(*.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)))

series154.0ms (6%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
57.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify92.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5132	2570

prune274.0ms (10.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	130	6	136
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	133	10	143

Merged error: 0.0b

Counts

143 → 10

Compiler

Compiled 4344 to 3364 computations (22.6% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite44.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64`
46×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
31×	`add-cube-cbrt_binary64`
28×	`add-cbrt-cube_binary64` `associate-l_binary64`
26×	`associate-r_binary64` `sqrt-prod_binary64`
24×	`prod-exp_binary64`
15×	`pow1_binary64`
12×	`cbrt-unprod_binary64`
8×	`rec-exp_binary64` `div-exp_binary64`
6×	`cbrt-undiv_binary64` `log-pow_binary64`
5×	`associate-*r/_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64`
3×	`un-div-inv_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64`

Counts

2 → 108

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))))

series155.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

101.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
55.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify121.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4758	1541
1	4758	1541

prune133.0ms (5.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	6	2	8
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0.0b

Counts

124 → 5

Compiler

Compiled 2105 to 1679 computations (20.2% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.8b	(.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))

rewrite55.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`
31×	`associate-l_binary64`
30×	`associate-r_binary64` `unpow-prod-down_binary64`
29×	`add-exp-log_binary64`
16×	`prod-exp_binary64`
10×	`pow1_binary64`
9×	`add-cbrt-cube_binary64`
7×	`unswap-sqr_binary64`
6×	`log-pow_binary64` `pow-exp_binary64`
4×	`cbrt-unprod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `sqrt-div_binary64` `associate-*l/_binary64`

Counts

2 → 100

Calls

2 calls:

22.0ms	(.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)))
19.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series248.0ms (9.8%)

Counts

2 → 6

Calls

2 calls:

188.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
60.0ms	(.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)))

simplify59.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5526	2594

prune183.0ms (7.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	107	4	111

Merged error: 0b

Counts

111 → 4

Compiler

Compiled 2883 to 2492 computations (13.6% saved)

regimes55.0ms (2.2%)

Compiler: Compiled 245 to 249 computations (-1.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	16	29

end0.0ms (0%)

sample606.0ms (23.8%)

Algorithm

1×

intervals

Results

326.0ms

8000×

body

128

valid

Compiler

Compiled 74 to 76 computations (-2.7% saved)

Details

analyze4.0ms (0.2%)

sample17.0ms (0.6%)

simplify7.0ms (0.3%)

prune7.0ms (0.3%)

localize6.0ms (0.2%)

rewrite7.0ms (0.3%)

series56.0ms (2.2%)

simplify110.0ms (4.3%)

prune73.0ms (2.9%)

localize9.0ms (0.4%)

rewrite48.0ms (1.9%)

series154.0ms (6%)

simplify92.0ms (3.6%)

prune274.0ms (10.8%)

localize9.0ms (0.4%)

rewrite44.0ms (1.7%)

series155.0ms (6.1%)

simplify121.0ms (4.8%)

prune133.0ms (5.2%)

localize13.0ms (0.5%)

rewrite55.0ms (2.2%)

series248.0ms (9.8%)

simplify59.0ms (2.3%)

prune183.0ms (7.2%)

regimes55.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample606.0ms (23.8%)

Profiling