Details

analyze402.0ms (5.9%)

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%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
1.0ms	20×	body	128	nan

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify659.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (497.0ms)

Iter	Nodes	Cost
0	5063	12

prune4.0ms (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: 18.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.2b	(*.f64 x (log.f64 (/.f64 x y)))
18.1b	(log.f64 (/.f64 x y))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`log-prod_binary64_14145`
45×	`times-frac_binary64_14065`
43×	`add-sqr-sqrt_binary64_14081`
41×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
26×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `associate--l+_binary64_13996`
8×	`add-exp-log_binary64_14097`
7×	`pow1_binary64_14120`
5×	`add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095` `div-inv_binary64_14056`
4×	`associate-r_binary64_13999`
3×	`cancel-sign-sub-inv_binary64_14025` `associate-l_binary64_14000`
2×	`log-pow_binary64_14148` `rem-log-exp_binary64_14100`
1×	`flip--_binary64_14034` `prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-unprod_binary64_14092` `*-commutative_binary64_13990` `log-div_binary64_14146` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `diff-log_binary64_14151` `sub-neg_binary64_14052` `flip3--_binary64_14063`

Counts

3 → 109

Calls

3 calls:

16.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
12.0ms	(*.f64 x (log.f64 (/.f64 x y)))
5.0ms	(log.f64 (/.f64 x y))

series242.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

115.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
77.0ms	(*.f64 x (log.f64 (/.f64 x y)))
50.0ms	(log.f64 (/.f64 x y))

simplify96.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5006	1782

prune178.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	8	119

Merged error: 0b

Counts

119 → 8

Compiler

Compiled 1899 to 513 computations (73% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_14090`
8×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `add-sqr-sqrt_binary64_14081`
4×	`add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095` `pow1_binary64_14120` `pow1/3_binary64_14141` `add-exp-log_binary64_14097`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series641.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt.f64 y)
159.0ms	(cbrt.f64 x)
158.0ms	(cbrt.f64 y)
156.0ms	(cbrt.f64 x)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5087	340

prune103.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0b

Counts

64 → 8

Compiler

Compiled 1345 to 543 computations (59.6% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
5.8b	(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_14145`
20×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `add-sqr-sqrt_binary64_14081`
18×	`cbrt-prod_binary64_14090` `times-frac_binary64_14065`
7×	`add-exp-log_binary64_14097`
5×	`pow1_binary64_14120`
4×	`add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095`
3×	`pow1/3_binary64_14141`
2×	`rem-log-exp_binary64_14100`
1×	`div-exp_binary64_14110` `log-pow_binary64_14148` `div-inv_binary64_14056` `log-div_binary64_14146`

Counts

4 → 66

Calls

4 calls:

7.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series642.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
156.0ms	(cbrt.f64 x)
155.0ms	(cbrt.f64 x)
148.0ms	(cbrt.f64 x)

simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4966	845
1	4966	845

prune151.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	78	8	86

Merged error: 0b

Counts

86 → 8

Compiler

Compiled 2006 to 794 computations (60.4% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.7b	(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_14145`
20×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `add-sqr-sqrt_binary64_14081`
18×	`cbrt-prod_binary64_14090` `times-frac_binary64_14065`
7×	`add-exp-log_binary64_14097`
5×	`pow1_binary64_14120`
4×	`add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095`
3×	`pow1/3_binary64_14141`
2×	`rem-log-exp_binary64_14100`
1×	`div-exp_binary64_14110` `log-pow_binary64_14148` `div-inv_binary64_14056` `log-div_binary64_14146`

Counts

4 → 66

Calls

4 calls:

7.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series652.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt.f64 y)
167.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
160.0ms	(cbrt.f64 y)
157.0ms	(cbrt.f64 y)

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4916	846
1	4916	846

prune141.0ms (2.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	78	8	86

Merged error: 0b

Counts

86 → 8

Compiler

Compiled 1922 to 740 computations (61.5% saved)

regimes421.0ms (6.2%)

Compiler: Compiled 2105 to 1503 computations (28.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	31
1	26	31

end0.0ms (0%)

sample1.9s (28.3%)

Algorithm

1×

intervals

Results

646.0ms	8000×	body	128	valid
47.0ms	752×	body	128	nan
4.0ms	46×	body	128	invalid

Compiler

Compiled 452 to 322 computations (28.8% saved)

Details

analyze402.0ms (5.9%)

sample31.0ms (0.5%)

simplify659.0ms (9.7%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

rewrite52.0ms (0.8%)

series242.0ms (3.6%)

simplify96.0ms (1.4%)

prune178.0ms (2.6%)

localize23.0ms (0.3%)

rewrite14.0ms (0.2%)

series641.0ms (9.4%)

simplify57.0ms (0.8%)

prune103.0ms (1.5%)

localize29.0ms (0.4%)

rewrite25.0ms (0.4%)

series642.0ms (9.5%)

simplify125.0ms (1.8%)

prune151.0ms (2.2%)

localize30.0ms (0.4%)

rewrite25.0ms (0.4%)

series652.0ms (9.6%)

simplify105.0ms (1.5%)

prune141.0ms (2.1%)

regimes421.0ms (6.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (28.3%)

Profiling