Details

analyze709.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5365	48
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%	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)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	27×	body	128	nan

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify359.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (350.0ms)

Iter	Nodes	Cost
0	5063	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

Error

13.7b

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)
0.3b	(*.f64 x (log.f64 (/.f64 x y)))
13.5b	(log.f64 (/.f64 x y))

rewrite143.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

65×	`log-prod_binary64_11758`
45×	`times-frac_binary64_11678`
43×	`add-sqr-sqrt_binary64_11694`
41×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
26×	`distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621` `associate--l+_binary64_11609`
8×	`add-exp-log_binary64_11710`
7×	`pow1_binary64_11733`
5×	`div-inv_binary64_11669` `add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708`
4×	`associate-r_binary64_11612`
3×	`associate-l_binary64_11613` `cancel-sign-sub-inv_binary64_11638`
2×	`log-pow_binary64_11761` `rem-log-exp_binary64_11713`
1×	`log-div_binary64_11759` `div-exp_binary64_11723` `pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `*-commutative_binary64_11603` `diff-log_binary64_11764` `flip3--_binary64_11676` `sub-neg_binary64_11665` `flip--_binary64_11647`

Counts

3 → 109

Calls

3 calls:

8.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms	(*.f64 x (log.f64 (/.f64 x y)))
3.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 1824 to 491 computations (73.1% saved)

series741.0ms (8.4%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

347.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
221.0ms	(*.f64 x (log.f64 (/.f64 x y)))
141.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 807 to 630 computations (21.9% saved)

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4965	1964
1	4965	1964

prune161.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	8	137

Error

0.0b

Counts

137 → 8

Compiler

Compiled 2041 to 547 computations (73.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
2.8b	(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite88.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`log-prod_binary64_11758`
20×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
18×	`times-frac_binary64_11678` `cbrt-prod_binary64_11703`
7×	`add-exp-log_binary64_11710`
5×	`pow1_binary64_11733`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708`
3×	`pow1/3_binary64_11754`
2×	`rem-log-exp_binary64_11713`
1×	`log-pow_binary64_11761` `log-div_binary64_11759` `div-inv_binary64_11669` `div-exp_binary64_11723`

Counts

4 → 66

Calls

4 calls:

4.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1726 to 635 computations (63.2% saved)

series629.0ms (7.1%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

365.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
92.0ms	(cbrt.f64 y)
87.0ms	(cbrt.f64 y)
69.0ms	(cbrt.f64 y)

Compiler

Compiled 1062 to 753 computations (29.1% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4932	856
1	4932	856

prune87.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Error

0.0b

Counts

89 → 8

Compiler

Compiled 2081 to 812 computations (61% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.6b	(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite99.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`log-prod_binary64_11758`
20×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
18×	`times-frac_binary64_11678` `cbrt-prod_binary64_11703`
7×	`add-exp-log_binary64_11710`
5×	`pow1_binary64_11733`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708`
3×	`pow1/3_binary64_11754`
2×	`rem-log-exp_binary64_11713`
1×	`log-pow_binary64_11761` `log-div_binary64_11759` `div-inv_binary64_11669` `div-exp_binary64_11723`

Counts

4 → 66

Calls

4 calls:

4.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1726 to 635 computations (63.2% saved)

series594.0ms (6.7%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

327.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
86.0ms	(cbrt.f64 x)
84.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 1041 to 732 computations (29.7% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5159	857

prune110.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	9	89

Error

Counts

89 → 9

Compiler

Compiled 2085 to 816 computations (60.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
14.0b	(cbrt.f64 (/.f64 x y))
14.0b	(cbrt.f64 (/.f64 x y))

rewrite207.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`cbrt-prod_binary64_11703`
64×	`log-prod_binary64_11758`
54×	`add-sqr-sqrt_binary64_11694` `times-frac_binary64_11678`
52×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
32×	`distribute-rgt-in_binary64_11622` `associate-+r+_binary64_11604` `distribute-lft-in_binary64_11621`
7×	`pow1_binary64_11733`
6×	`add-log-exp_binary64_11711` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `div-inv_binary64_11669`
5×	`associate-r_binary64_11612`
3×	`pow1/3_binary64_11754` `associate-l_binary64_11613`
2×	`cbrt-div_binary64_11704` `log-pow_binary64_11761`
1×	`sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `distribute-lft-out_binary64_11623` `+-commutative_binary64_11602` `pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `*-commutative_binary64_11603`

Counts

4 → 140

Calls

4 calls:

14.0ms	(*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))
12.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
3.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 4022 to 1266 computations (68.5% saved)

series1.5s (17%)

Error

Counts

4 → 24

Calls

4 calls:

544.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y)))))
482.0ms	(*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))
232.0ms	(cbrt.f64 (/.f64 x y))
222.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 1752 to 1372 computations (21.7% saved)

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4921	2908
1	4921	2908

prune204.0ms (2.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	164	9	173

Error

Counts

173 → 9

Compiler

Compiled 3978 to 1293 computations (67.5% saved)

regimes676.0ms (7.6%)

Accuracy

Total 0.2b remaining (97.7%)

Threshold costs 0.2b (97.7%)

Compiler

Compiled 5817 to 4122 computations (29.1% 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%)

sample2.1s (23.6%)

Algorithm

1×

intervals

Results

419.0ms	8000×	body	128	valid
27.0ms	715×	body	128	nan
1.0ms	31×	body	128	invalid

Compiler

Compiled 1168 to 828 computations (29.1% saved)

Details

analyze709.0ms (8%)

sample25.0ms (0.3%)

simplify359.0ms (4.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite143.0ms (1.6%)

series741.0ms (8.4%)

simplify102.0ms (1.2%)

prune161.0ms (1.8%)

localize22.0ms (0.2%)

rewrite88.0ms (1%)

series629.0ms (7.1%)

simplify75.0ms (0.8%)

prune87.0ms (1%)

localize17.0ms (0.2%)

rewrite99.0ms (1.1%)

series594.0ms (6.7%)

simplify59.0ms (0.7%)

prune110.0ms (1.2%)

localize13.0ms (0.1%)

rewrite207.0ms (2.3%)

series1.5s (17%)

simplify136.0ms (1.5%)

prune204.0ms (2.3%)

regimes676.0ms (7.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.1s (23.6%)

Profiling