Details

analyze608.0ms (13.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5232	36
0	3	3
1	3	3

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample41.0ms (0.9%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
3.0ms	31×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify122.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4968	9
1	4968	9

prune5.0ms (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

Error

0.2b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_84`
10×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`pow1_binary64_139`
4×	`associate-/r*_binary64_22` `log-pow_binary64_167`
3×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23` `add-exp-log_binary64_116`
1×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `frac-2neg_binary64_89` `div-inv_binary64_75` `clear-num_binary64_77`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

series48.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4804	518
1	4804	518

prune38.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	25	9	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	11	36

Error

0.0b

Counts

36 → 11

Compiler

Compiled 562 to 179 computations (68.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_100`
26×	`times-frac_binary64_84`
21×	`*-un-lft-identity_binary64_78`
20×	`add-cube-cbrt_binary64_113`
16×	`associate-r_binary64_18`
15×	`add-exp-log_binary64_116`
12×	`pow1_binary64_139`
9×	`add-cbrt-cube_binary64_114`
7×	`log-pow_binary64_167`
4×	`prod-exp_binary64_127` `div-exp_binary64_129` `associate-/r*_binary64_22`
3×	`associate-l_binary64_19` `associate-/l*_binary64_23` `unswap-sqr_binary64_46`
2×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `1-exp_binary64_122` `div-inv_binary64_75` `rec-exp_binary64_128`
1×	`-commutative_binary64_9` `inv-pow_binary64_163` `un-div-inv_binary64_76` `frac-2neg_binary64_89` `pow-flip_binary64_152` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `clear-num_binary64_77`

Counts

2 → 74

Calls

2 calls:

8.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))

series128.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

79.0ms	(/.f64 1 (log.f64 base))
49.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5058	875

prune62.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	78	13	91

Error

0.0b

Counts

91 → 13

Compiler

Compiled 1106 to 480 computations (56.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
0.6b	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
0.7b	(pow.f64 (/.f64 1 (log.f64 base)) 3)

rewrite54.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`times-frac_binary64_84`
85×	`add-sqr-sqrt_binary64_100`
84×	`cbrt-prod_binary64_109`
68×	`*-un-lft-identity_binary64_78`
66×	`add-cube-cbrt_binary64_113`
51×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
41×	`associate-r_binary64_18`
31×	`pow1_binary64_139`
22×	`log-pow_binary64_167`
15×	`add-exp-log_binary64_116`
10×	`add-cbrt-cube_binary64_114`
9×	`unswap-sqr_binary64_46`
7×	`div-inv_binary64_75`
4×	`pow-exp_binary64_146` `add-log-exp_binary64_117` `div-exp_binary64_129` `sqr-pow_binary64_50` `associate-/r*_binary64_22`
3×	`cube-mult_binary64_108` `associate-l_binary64_19` `cube-div_binary64_107` `pow-pow_binary64_150` `associate-/l*_binary64_23` `pow-unpow_binary64_155` `unpow3_binary64_144`
2×	`rem-cube-cbrt_binary64_101` `cbrt-div_binary64_110` `cbrt-undiv_binary64_112` `inv-pow_binary64_163` `1-exp_binary64_122` `pow-flip_binary64_152` `rec-exp_binary64_128`
1×	`-commutative_binary64_9` `rem-cbrt-cube_binary64_102` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow1/3_binary64_160` `frac-2neg_binary64_89` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `clear-num_binary64_77`

Counts

4 → 204

Calls

4 calls:

18.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
6.0ms	(/.f64 1 (log.f64 base))
6.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))

series321.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
88.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
70.0ms	(/.f64 1 (log.f64 base))
49.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4943	2423
1	4943	2423

prune180.0ms (4.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	2	8	10
Picked	1	0	1
Done	0	2	2
Total	216	13	229

Error

0.0b

Counts

229 → 13

Compiler

Compiled 3199 to 1736 computations (45.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
0.5b	(cbrt.f64 (pow.f64 (log.f64 base) 3))
0.8b	(pow.f64 (log.f64 base) 3)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-prod_binary64_109`
51×	`times-frac_binary64_84`
43×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
24×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
17×	`associate-/r*_binary64_22`
16×	`pow1_binary64_139`
12×	`log-pow_binary64_167`
6×	`cube-mult_binary64_108` `sqr-pow_binary64_50` `add-exp-log_binary64_116` `unpow3_binary64_144`
5×	`add-cbrt-cube_binary64_114`
3×	`add-log-exp_binary64_117` `associate-/l*_binary64_23` `pow-unpow_binary64_155`
1×	`rem-cube-cbrt_binary64_101` `rem-cbrt-cube_binary64_102` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `pow1/3_binary64_160` `frac-2neg_binary64_89` `div-inv_binary64_75` `pow-pow_binary64_150` `clear-num_binary64_77`

Counts

3 → 131

Calls

3 calls:

7.0ms	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
3.0ms	(pow.f64 (log.f64 base) 3)
3.0ms	(cbrt.f64 (pow.f64 (log.f64 base) 3))

series169.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(pow.f64 (log.f64 base) 3)
47.0ms	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
43.0ms	(cbrt.f64 (pow.f64 (log.f64 base) 3))

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5404	2120

prune101.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	8	10
Picked	0	1	1
Done	1	1	2
Total	141	12	153

Error

0.0b

Counts

153 → 12

Compiler

Compiled 1898 to 634 computations (66.6% saved)

regimes329.0ms (7.5%)

Accuracy

Total 0.3b remaining (95%)

Threshold costs 0.3b (95%)

Compiler

Compiled 2736 to 2091 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.8s (40.8%)

Algorithm

1×

intervals

Results

816.0ms	8000×	body	128	valid
91.0ms	983×	body	128	nan

Compiler

Compiled 569 to 435 computations (23.6% saved)

Details

analyze608.0ms (13.9%)

sample41.0ms (0.9%)

simplify122.0ms (2.8%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series48.0ms (1.1%)

simplify70.0ms (1.6%)

prune38.0ms (0.9%)

localize7.0ms (0.2%)

rewrite17.0ms (0.4%)

series128.0ms (2.9%)

simplify65.0ms (1.5%)

prune62.0ms (1.4%)

localize10.0ms (0.2%)

rewrite54.0ms (1.2%)

series321.0ms (7.3%)

simplify81.0ms (1.8%)

prune180.0ms (4.1%)

localize9.0ms (0.2%)

rewrite23.0ms (0.5%)

series169.0ms (3.9%)

simplify94.0ms (2.1%)

prune101.0ms (2.3%)

regimes329.0ms (7.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (40.8%)

Profiling