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)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune4.0ms (0.2%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.6%)

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:

5.0ms

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

series19.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify172.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	4520	518
1	4520	518

prune42.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	8	35

Merged error: 0.1b

Counts

35 → 8

Compiler

Compiled 514 to 304 computations (40.9% 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))))

rewrite31.0ms (1.5%)

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`
26×	`add-exp-log_binary64`
25×	`associate-r_binary64` `associate-l_binary64`
16×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
14×	`pow1_binary64`
10×	`log-pow_binary64`
9×	`div-exp_binary64`
8×	`prod-exp_binary64`
7×	`associate-/r*_binary64`
5×	`cbrt-undiv_binary64`
4×	`cbrt-unprod_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `1-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 → 132

Calls

2 calls:

20.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
4.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

series20.0ms (1%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
8.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify120.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4953	2592
1	4953	2592

prune122.0ms (5.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	138	8	146

Merged error: 0.0b

Counts

146 → 8

Compiler

Compiled 2644 to 1889 computations (28.6% 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)))))

rewrite35.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64`
46×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
40×	`prod-exp_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`
20×	`div-exp_binary64`
15×	`pow1_binary64`
12×	`cbrt-unprod_binary64`
10×	`1-exp_binary64` `rec-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 → 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)))))
11.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series18.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
8.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify140.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4709	1642
1	4709	1642

prune238.0ms (11.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Merged error: 0b

Counts

131 → 3

Compiler

Compiled 1951 to 1530 computations (21.6% saved)

localize13.0ms (0.6%)

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))

rewrite40.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

18.0ms	(.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))

series38.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
7.0ms	(.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)))

simplify76.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5304	2642

prune127.0ms (6.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Merged error: 0b

Counts

111 → 3

Compiler

Compiled 2727 to 2335 computations (14.4% saved)

regimes73.0ms (3.5%)

Compiler: Compiled 133 to 137 computations (-3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	29
1	18	29

end0.0ms (0%)

sample675.0ms (32.6%)

Algorithm

1×

intervals

Results

286.0ms

8000×

body

valid

Compiler

Compiled 66 to 68 computations (-3% saved)

Details

analyze4.0ms (0.2%)

sample16.0ms (0.7%)

simplify12.0ms (0.6%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite12.0ms (0.6%)

series19.0ms (0.9%)

simplify172.0ms (8.3%)

prune42.0ms (2%)

localize9.0ms (0.4%)

rewrite31.0ms (1.5%)

series20.0ms (1%)

simplify120.0ms (5.8%)

prune122.0ms (5.9%)

localize9.0ms (0.4%)

rewrite35.0ms (1.7%)

series18.0ms (0.9%)

simplify140.0ms (6.8%)

prune238.0ms (11.5%)

localize13.0ms (0.6%)

rewrite40.0ms (1.9%)

series38.0ms (1.8%)

simplify76.0ms (3.7%)

prune127.0ms (6.1%)

regimes73.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample675.0ms (32.6%)

Profiling