Details

analyze580.0ms (13.4%)

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)

sample39.0ms (0.9%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
3.0ms	30×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify119.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

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

0.3b

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))

series47.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4804	518
1	4804	518

prune37.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	24	10	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	12	36

Error

0.1b

Counts

36 → 12

Compiler

Compiled 562 to 187 computations (66.7% 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:

9.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))

series120.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

71.0ms	(/.f64 1 (log.f64 base))
48.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5058	875

prune64.0ms (1.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	79	13	92

Error

0.0b

Counts

92 → 13

Compiler

Compiled 1090 to 469 computations (57% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (log.f64 base) (atan2.f64 im re))
0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite20.0ms (0.5%)

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:

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

series103.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
50.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5084	2327

prune101.0ms (2.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	3	7	10
Picked	1	0	1
Done	0	2	2
Total	124	14	138

Error

0.0b

Counts

138 → 14

Compiler

Compiled 2056 to 595 computations (71.1% 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)

rewrite56.0ms (1.3%)

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:

19.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
6.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
6.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
4.0ms	(/.f64 1 (log.f64 base))

series302.0ms (7%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
79.0ms	(/.f64 1 (log.f64 base))
70.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
47.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4943	2423
1	4943	2423

prune175.0ms (4.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	4	7	11
Picked	0	1	1
Done	0	2	2
Total	217	13	230

Error

0.0b

Counts

230 → 13

Compiler

Compiled 3050 to 1612 computations (47.1% saved)

regimes370.0ms (8.6%)

Accuracy

Total 0.3b remaining (97%)

Threshold costs 0.3b (97%)

Compiler

Compiled 3421 to 2536 computations (25.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.8s (42.6%)

Algorithm

1×

intervals

Results

761.0ms	8000×	body	128	valid
95.0ms	1047×	body	128	nan

Compiler

Compiled 706 to 524 computations (25.8% saved)

Details

analyze580.0ms (13.4%)

sample39.0ms (0.9%)

simplify119.0ms (2.8%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series47.0ms (1.1%)

simplify68.0ms (1.6%)

prune37.0ms (0.9%)

localize7.0ms (0.2%)

rewrite17.0ms (0.4%)

series120.0ms (2.8%)

simplify64.0ms (1.5%)

prune64.0ms (1.5%)

localize7.0ms (0.2%)

rewrite20.0ms (0.5%)

series103.0ms (2.4%)

simplify75.0ms (1.7%)

prune101.0ms (2.3%)

localize10.0ms (0.2%)

rewrite56.0ms (1.3%)

series302.0ms (7%)

simplify79.0ms (1.8%)

prune175.0ms (4.1%)

regimes370.0ms (8.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (42.6%)

Profiling