Details

analyze789.0ms (10%)

Algorithm

1×

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)

sample69.0ms (0.9%)

Algorithm

1×

intervals

Results

46.0ms	256×	body	128	valid
5.0ms	32×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify390.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (215.0ms)

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

Merged error: 0.4b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (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:

6.0ms

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

series75.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4804	518
1	4804	518

prune73.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	22	12	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	14	36

Merged error: 0.1b

Counts

36 → 14

Compiler

Compiled 604 to 207 computations (65.7% saved)

localize13.0ms (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)))

rewrite30.0ms (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:

16.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
6.0ms	(/.f64 1 (log.f64 base))

series238.0ms (3%)

Counts

2 → 6

Calls

2 calls:

144.0ms	(/.f64 1 (log.f64 base))
93.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5058	875

prune130.0ms (1.6%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	76	18	94

Merged error: 0.1b

Counts

94 → 18

Compiler

Compiled 1199 to 539 computations (55% saved)

localize15.0ms (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)))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_84`
60×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`associate-/r*_binary64_22` `pow1_binary64_139`
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×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `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))

series183.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
89.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify131.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5084	2327

prune189.0ms (2.4%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	1	14	15
Picked	0	1	1
Done	1	1	2
Total	122	21	143

Merged error: 0.0b

Counts

143 → 21

Compiler

Compiled 2169 to 672 computations (69% saved)

localize19.0ms (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)))
0.7b	(pow.f64 (/.f64 1 (log.f64 base)) 3)
0.7b	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))

rewrite98.0ms (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:

33.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
11.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
11.0ms	(/.f64 1 (log.f64 base))
10.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)

series581.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
144.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
140.0ms	(/.f64 1 (log.f64 base))
85.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))

simplify138.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4943	2423
1	4943	2423

prune313.0ms (4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	210	6	216
Fresh	10	8	18
Picked	1	0	1
Done	0	2	2
Total	221	16	237

Merged error: 0.0b

Counts

237 → 16

Compiler

Compiled 3050 to 1612 computations (47.1% saved)

regimes652.0ms (8.2%)

Compiler: Compiled 3256 to 2406 computations (26.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample3.5s (43.8%)

Algorithm

1×

intervals

Results

1.5s	8000×	body	128	valid
170.0ms	978×	body	128	nan

Compiler

Compiled 673 to 498 computations (26% saved)

Details

analyze789.0ms (10%)

sample69.0ms (0.9%)

simplify390.0ms (4.9%)

prune9.0ms (0.1%)

localize11.0ms (0.1%)

rewrite9.0ms (0.1%)

series75.0ms (0.9%)

simplify127.0ms (1.6%)

prune73.0ms (0.9%)

localize13.0ms (0.2%)

rewrite30.0ms (0.4%)

series238.0ms (3%)

simplify113.0ms (1.4%)

prune130.0ms (1.6%)

localize15.0ms (0.2%)

rewrite45.0ms (0.6%)

series183.0ms (2.3%)

simplify131.0ms (1.7%)

prune189.0ms (2.4%)

localize19.0ms (0.2%)

rewrite98.0ms (1.2%)

series581.0ms (7.3%)

simplify138.0ms (1.7%)

prune313.0ms (4%)

regimes652.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.5s (43.8%)

Profiling