Details

analyze280.0ms (4.4%)

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)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	20×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify230.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	270	12
1	270	12

prune2.0ms (0%)

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: 14.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

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)))
14.3b	(log.f64 (/.f64 x y))

rewrite44.0ms (0.7%)

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:

17.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
8.0ms	(*.f64 x (log.f64 (/.f64 x y)))
3.0ms	(log.f64 (/.f64 x y))

series295.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

129.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
105.0ms	(*.f64 x (log.f64 (/.f64 x y)))
61.0ms	(log.f64 (/.f64 x y))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5007	1782

prune125.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

Compiler

Compiled 1885 to 499 computations (73.5% saved)

localize21.0ms (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)

rewrite21.0ms (0.3%)

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:

6.0ms	(cbrt.f64 y)
3.0ms	(cbrt.f64 x)
3.0ms	(cbrt.f64 y)
3.0ms	(cbrt.f64 x)

series753.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt.f64 x)
190.0ms	(cbrt.f64 y)
185.0ms	(cbrt.f64 x)
176.0ms	(cbrt.f64 y)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5042	340

prune64.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

Compiler

Compiled 1331 to 529 computations (60.3% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.7b	(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite18.0ms (0.3%)

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))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series817.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt.f64 x)
214.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
194.0ms	(cbrt.f64 x)
176.0ms	(cbrt.f64 x)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4979	845
1	4979	845

prune103.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

Compiler

Compiled 2015 to 797 computations (60.4% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.7b	(pow.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) 3)
3.7b	(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `add-sqr-sqrt_binary64_14081` `log-prod_binary64_14145`
18×	`times-frac_binary64_14065`
15×	`cbrt-prod_binary64_14090`
8×	`pow1_binary64_14120` `add-exp-log_binary64_14097`
5×	`add-cbrt-cube_binary64_14095`
4×	`add-log-exp_binary64_14098` `cube-prod_binary64_14087` `unpow-prod-down_binary64_14138`
3×	`log-pow_binary64_14148` `pow-unpow_binary64_14136`
2×	`rem-log-exp_binary64_14100` `pow1/3_binary64_14141`
1×	`pow-pow_binary64_14131` `div-exp_binary64_14110` `sqr-pow_binary64_14031` `rem-cube-cbrt_binary64_14082` `cube-mult_binary64_14089` `div-inv_binary64_14056` `log-div_binary64_14146` `unpow3_binary64_14125` `pow-exp_binary64_14127` `pow-to-exp_binary64_14128`

Counts

4 → 80

Calls

4 calls:

9.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
6.0ms	(pow.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) 3)
2.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series1.0s (15.8%)

Counts

4 → 12

Calls

4 calls:

339.0ms	(pow.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) 3)
255.0ms	(cbrt.f64 x)
232.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
178.0ms	(cbrt.f64 x)

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5002	1134

prune146.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

Compiler

Compiled 2550 to 1206 computations (52.7% saved)

regimes429.0ms (6.7%)

Compiler: Compiled 2382 to 1642 computations (31.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	31
1	26	31

end0.0ms (0%)

sample1.6s (25.2%)

Algorithm

1×

intervals

Results

439.0ms	8000×	body	128	valid
30.0ms	740×	body	128	nan
2.0ms	30×	body	128	invalid

Compiler

Compiled 504 to 348 computations (31% saved)

Details

analyze280.0ms (4.4%)

sample23.0ms (0.4%)

simplify230.0ms (3.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite44.0ms (0.7%)

series295.0ms (4.6%)

simplify60.0ms (0.9%)

prune125.0ms (2%)

localize21.0ms (0.3%)

rewrite21.0ms (0.3%)

series753.0ms (11.8%)

simplify71.0ms (1.1%)

prune64.0ms (1%)

localize30.0ms (0.5%)

rewrite18.0ms (0.3%)

series817.0ms (12.8%)

simplify75.0ms (1.2%)

prune103.0ms (1.6%)

localize20.0ms (0.3%)

rewrite27.0ms (0.4%)

series1.0s (15.8%)

simplify98.0ms (1.5%)

prune146.0ms (2.3%)

regimes429.0ms (6.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.6s (25.2%)

Profiling