Details

analyze4.0ms (0.1%)

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 (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify170.0ms (5.3%)

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)

localize6.0ms (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_83`
10×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
5×	`pow1_binary64_135`
4×	`associate-/r*_binary64_23` `log-pow_binary64_163`
3×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `associate-/l*_binary64_24`
1×	`add-log-exp_binary64_113` `cbrt-undiv_binary64_108` `div-exp_binary64_125` `clear-num_binary64_76` `frac-2neg_binary64_88` `div-inv_binary64_74`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

series52.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify107.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5096	518

prune38.0ms (1.2%)

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: 0.0b

Counts

35 → 8

Compiler

Compiled 522 to 313 computations (40% 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)))
0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite45.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64_98`
85×	`times-frac_binary64_83`
52×	`*-un-lft-identity_binary64_77`
51×	`sqrt-prod_binary64_92`
46×	`add-cube-cbrt_binary64_109`
26×	`add-exp-log_binary64_112`
25×	`associate-l_binary64_20` `associate-r_binary64_19`
16×	`add-cbrt-cube_binary64_110`
15×	`unswap-sqr_binary64_45`
14×	`pow1_binary64_135`
10×	`log-pow_binary64_163`
9×	`div-exp_binary64_125`
8×	`prod-exp_binary64_123`
7×	`associate-/r*_binary64_23`
5×	`cbrt-undiv_binary64_108`
4×	`cbrt-unprod_binary64_107`
3×	`associate-/l*_binary64_24` `div-inv_binary64_74`
2×	`add-log-exp_binary64_113` `1-exp_binary64_118` `rec-exp_binary64_124`
1×	`pow-prod-down_binary64_145` `frac-times_binary64_87` `associate-l/_binary64_22` `associate-r/_binary64_21` `*-commutative_binary64_10` `clear-num_binary64_76` `frac-2neg_binary64_88`

Counts

2 → 132

Calls

2 calls:

23.0ms	(*.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)))

series141.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
55.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify98.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5034	2592

prune158.0ms (4.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	137	9	146

Merged error: 0.0b

Counts

146 → 9

Compiler

Compiled 2637 to 1885 computations (28.5% 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))))
0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite44.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64_112`
46×	`times-frac_binary64_83`
43×	`add-sqr-sqrt_binary64_98`
40×	`prod-exp_binary64_123`
33×	`*-un-lft-identity_binary64_77`
31×	`add-cube-cbrt_binary64_109`
28×	`associate-l_binary64_20` `add-cbrt-cube_binary64_110`
26×	`sqrt-prod_binary64_92` `associate-r_binary64_19`
20×	`div-exp_binary64_125`
15×	`pow1_binary64_135`
12×	`cbrt-unprod_binary64_107`
10×	`1-exp_binary64_118` `rec-exp_binary64_124`
6×	`cbrt-undiv_binary64_108` `log-pow_binary64_163`
5×	`associate-*r/_binary64_21` `unswap-sqr_binary64_45`
4×	`pow-prod-down_binary64_145`
3×	`un-div-inv_binary64_75`
2×	`add-log-exp_binary64_113` `frac-times_binary64_87` `*-commutative_binary64_10` `div-inv_binary64_74`
1×	`associate-*l/_binary64_22`

Counts

2 → 117

Calls

2 calls:

17.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
15.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series156.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
56.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify123.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4735	1642
1	4735	1642

prune129.0ms (4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Merged error: 0b

Counts

132 → 6

Compiler

Compiled 2020 to 1589 computations (21.3% saved)

localize13.0ms (0.4%)

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))

rewrite48.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64_92`
48×	`add-sqr-sqrt_binary64_98`
46×	`times-frac_binary64_83`
35×	`*-un-lft-identity_binary64_77`
34×	`add-exp-log_binary64_112`
33×	`add-cube-cbrt_binary64_109`
31×	`associate-l_binary64_20`
30×	`unpow-prod-down_binary64_153` `associate-r_binary64_19`
19×	`prod-exp_binary64_123`
10×	`pow1_binary64_135`
9×	`add-cbrt-cube_binary64_110`
8×	`pow-exp_binary64_142`
7×	`unswap-sqr_binary64_45`
6×	`log-pow_binary64_163`
4×	`cbrt-unprod_binary64_107` `div-exp_binary64_125`
2×	`pow-to-exp_binary64_143` `add-log-exp_binary64_113` `1-exp_binary64_118` `sqr-pow_binary64_49` `rec-exp_binary64_124` `*-commutative_binary64_10` `div-inv_binary64_74`
1×	`pow-prod-down_binary64_145` `sqrt-div_binary64_93` `associate-*l/_binary64_22`

Counts

2 → 102

Calls

2 calls:

20.0ms	(.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)))
15.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series261.0ms (8.1%)

Counts

2 → 6

Calls

2 calls:

195.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
65.0ms	(.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)))

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5536	2642

prune173.0ms (5.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

Compiler

Compiled 2727 to 2335 computations (14.4% saved)

regimes215.0ms (6.7%)

Compiler: Compiled 2111 to 1898 computations (10.1% 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%)

sample1.1s (34.7%)

Algorithm

1×

intervals

Results

320.0ms

8000×

body

128

valid

Compiler

Compiled 529 to 479 computations (9.5% saved)

Details

analyze4.0ms (0.1%)

sample16.0ms (0.5%)

simplify170.0ms (5.3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite6.0ms (0.2%)

series52.0ms (1.6%)

simplify107.0ms (3.3%)

prune38.0ms (1.2%)

localize9.0ms (0.3%)

rewrite45.0ms (1.4%)

series141.0ms (4.4%)

simplify98.0ms (3.1%)

prune158.0ms (4.9%)

localize9.0ms (0.3%)

rewrite44.0ms (1.4%)

series156.0ms (4.9%)

simplify123.0ms (3.8%)

prune129.0ms (4%)

localize13.0ms (0.4%)

rewrite48.0ms (1.5%)

series261.0ms (8.1%)

simplify65.0ms (2%)

prune173.0ms (5.4%)

regimes215.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (34.7%)

Profiling