Details

analyze764.0ms (8.9%)

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)

sample42.0ms (0.5%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	128	valid
2.0ms	24×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

1 → 31

Calls

1 calls:

6.0ms

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

Compiler

Compiled 426 to 103 computations (75.8% saved)

series246.0ms (2.9%)

Error

0.2b

Counts

1 → 9

Calls

1 calls:

240.0ms

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

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4804	572
1	4804	572

prune44.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	31	9	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	11	42

Error

0.1b

Counts

42 → 11

Compiler

Compiled 581 to 174 computations (70.1% saved)

localize7.0ms (0.1%)

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)))

rewrite87.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`div-exp_binary64_129` `prod-exp_binary64_127` `associate-/r*_binary64_22`
3×	`unswap-sqr_binary64_46` `associate-l_binary64_19` `associate-/l*_binary64_23`
2×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `div-inv_binary64_75`
1×	`pow-prod-down_binary64_149` `un-div-inv_binary64_76` `associate-r/_binary64_20` `-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

2 → 74

Calls

2 calls:

8.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
4.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 1091 to 530 computations (51.4% saved)

series375.0ms (4.4%)

Error

0.1b

Counts

2 → 12

Calls

2 calls:

277.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
92.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 282 to 225 computations (20.2% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5058	929

prune91.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	85	12	97

Error

0.0b

Counts

97 → 12

Compiler

Compiled 1138 to 469 computations (58.8% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 (log.f64 base) (atan2.f64 im re))
0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite178.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

108×	`times-frac_binary64_84`
60×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
19×	`pow1_binary64_139` `associate-/r*_binary64_22`
16×	`log-pow_binary64_167`
15×	`add-exp-log_binary64_116`
9×	`add-cbrt-cube_binary64_114`
8×	`div-exp_binary64_129`
7×	`associate-/l*_binary64_23`
6×	`div-inv_binary64_75`
4×	`cbrt-undiv_binary64_112`
2×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `associate-/r/_binary64_24`

Counts

2 → 119

Calls

2 calls:

13.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
7.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 2172 to 762 computations (64.9% saved)

series514.0ms (6%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

248.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))
248.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

Compiler

Compiled 432 to 339 computations (21.5% saved)

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5084	2435

prune131.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	1	8	9
Picked	0	1	1
Done	1	1	2
Total	137	12	149

Error

0.0b

Counts

149 → 12

Compiler

Compiled 2121 to 596 computations (71.9% saved)

localize12.0ms (0.1%)

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)))
0.7b	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
0.7b	(pow.f64 (/.f64 1 (log.f64 base)) 3)

rewrite347.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

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×	`div-exp_binary64_129` `pow-exp_binary64_146` `add-log-exp_binary64_117` `sqr-pow_binary64_50` `associate-/r*_binary64_22`
3×	`pow-unpow_binary64_155` `pow-pow_binary64_150` `unpow3_binary64_144` `cube-mult_binary64_108` `cube-div_binary64_107` `associate-l_binary64_19` `associate-/l*_binary64_23`
2×	`inv-pow_binary64_163` `pow-flip_binary64_152` `1-exp_binary64_122` `rec-exp_binary64_128` `rem-cube-cbrt_binary64_101` `cbrt-undiv_binary64_112` `cbrt-div_binary64_110`
1×	`pow-to-exp_binary64_147` `pow1/3_binary64_160` `rem-cbrt-cube_binary64_102` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-r/_binary64_20` `-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

4 → 204

Calls

4 calls:

17.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
9.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
6.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
3.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 4067 to 2543 computations (37.5% saved)

series668.0ms (7.8%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

287.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
164.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
110.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
95.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 522 to 439 computations (15.9% saved)

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4943	2477
1	4943	2477

prune215.0ms (2.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	220	14	234

Error

Counts

234 → 14

Compiler

Compiled 3086 to 1612 computations (47.8% saved)

regimes1.0s (11.6%)

Accuracy

Total 0.3b remaining (97.6%)

Threshold costs 0.3b (97.6%)

Compiler

Compiled 7298 to 5466 computations (25.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	14
1	24	14

end0.0ms (0%)

sample3.4s (39.1%)

Algorithm

1×

intervals

Results

990.0ms	8000×	body	128	valid
110.0ms	978×	body	128	nan

Compiler

Compiled 1246 to 935 computations (25% saved)

Details

analyze764.0ms (8.9%)

sample42.0ms (0.5%)

simplify126.0ms (1.5%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

rewrite39.0ms (0.4%)

series246.0ms (2.9%)

simplify81.0ms (0.9%)

prune44.0ms (0.5%)

localize7.0ms (0.1%)

rewrite87.0ms (1%)

series375.0ms (4.4%)

simplify74.0ms (0.9%)

prune91.0ms (1.1%)

localize14.0ms (0.2%)

rewrite178.0ms (2.1%)

series514.0ms (6%)

simplify79.0ms (0.9%)

prune131.0ms (1.5%)

localize12.0ms (0.1%)

rewrite347.0ms (4%)

series668.0ms (7.8%)

simplify89.0ms (1%)

prune215.0ms (2.5%)

regimes1.0s (11.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.4s (39.1%)

Profiling