Details

analyze779.0ms (11.4%)

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)

sample52.0ms (0.8%)

Algorithm

1×

intervals

Results

32.0ms	256×	body	128	valid
4.0ms	32×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify134.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4968	9
1	4968	9

prune9.0ms (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

0.3b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

3.0ms

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

Compiler

Compiled 426 to 103 computations (75.8% saved)

series242.0ms (3.6%)

Error

0.3b

Counts

1 → 9

Calls

1 calls:

238.0ms

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

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4804	572
1	4804	572

prune45.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	29	11	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	13	42

Error

0.0b

Counts

42 → 13

Compiler

Compiled 616 to 195 computations (68.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite83.0ms (1.2%)

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` `associate-/r*_binary64_22` `prod-exp_binary64_127`
3×	`associate-/l_binary64_23` `unswap-sqr_binary64_46` `associate-l*_binary64_19`
2×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `cbrt-unprod_binary64_111`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77` `pow-prod-down_binary64_149` `un-div-inv_binary64_76` `associate-r/_binary64_20` `-commutative_binary64_9`

Counts

2 → 74

Calls

2 calls:

10.0ms	(*.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)

series338.0ms (5%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

241.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
91.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 282 to 225 computations (20.2% saved)

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5058	929

prune84.0ms (1.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	84	15	99

Error

0.0b

Counts

99 → 15

Compiler

Compiled 1173 to 494 computations (57.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (log.f64 base) (atan2.f64 im re))
0.5b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite148.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

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:

7.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 2172 to 762 computations (64.9% saved)

series514.0ms (7.6%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

279.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
228.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 432 to 339 computations (21.5% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5084	2435

prune110.0ms (1.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	3	9	12
Picked	0	1	1
Done	0	2	2
Total	137	15	152

Error

Counts

152 → 15

Compiler

Compiled 2140 to 616 computations (71.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))
0.5b	(cbrt.f64 (log.f64 base))
0.5b	(cbrt.f64 (log.f64 base))
0.5b	(cbrt.f64 (log.f64 base))

rewrite114.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
20×	`pow1_binary64_139`
17×	`*-un-lft-identity_binary64_78`
15×	`add-cube-cbrt_binary64_113`
9×	`pow1/3_binary64_160` `log-pow_binary64_167` `swap-sqr_binary64_45`
7×	`associate-l_binary64_19` `associate-r_binary64_18`
6×	`add-exp-log_binary64_116`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
2×	`pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 81

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))
2.0ms	(cbrt.f64 (log.f64 base))
1.0ms	(cbrt.f64 (log.f64 base))
1.0ms	(cbrt.f64 (log.f64 base))

Compiler

Compiled 1664 to 345 computations (79.3% saved)

series696.0ms (10.2%)

Error

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt.f64 (log.f64 base))
178.0ms	(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))
162.0ms	(cbrt.f64 (log.f64 base))
155.0ms	(cbrt.f64 (log.f64 base))

Compiler

Compiled 660 to 461 computations (30.2% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4995	799
1	4995	799

prune83.0ms (1.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	9	11
Picked	0	1	1
Done	0	3	3
Total	94	14	108

Error

Counts

108 → 14

Compiler

Compiled 1616 to 391 computations (75.8% saved)

regimes480.0ms (7.1%)

Accuracy

Total 0.3b remaining (97.7%)

Threshold costs 0.3b (97.7%)

Compiler

Compiled 3976 to 2766 computations (30.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample2.5s (36.8%)

Algorithm

1×

intervals

Results

1.0s	8000×	body	128	valid
121.0ms	995×	body	128	nan

Compiler

Compiled 817 to 570 computations (30.2% saved)

Details

analyze779.0ms (11.4%)

sample52.0ms (0.8%)

simplify134.0ms (2%)

prune9.0ms (0.1%)

localize9.0ms (0.1%)

rewrite45.0ms (0.7%)

series242.0ms (3.6%)

simplify75.0ms (1.1%)

prune45.0ms (0.7%)

localize7.0ms (0.1%)

rewrite83.0ms (1.2%)

series338.0ms (5%)

simplify66.0ms (1%)

prune84.0ms (1.2%)

localize7.0ms (0.1%)

rewrite148.0ms (2.2%)

series514.0ms (7.6%)

simplify89.0ms (1.3%)

prune110.0ms (1.6%)

localize9.0ms (0.1%)

rewrite114.0ms (1.7%)

series696.0ms (10.2%)

simplify75.0ms (1.1%)

prune83.0ms (1.2%)

regimes480.0ms (7.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.5s (36.8%)

Profiling