Details

analyze583.0ms (9.3%)

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)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	26×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify274.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (268.0ms)

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

16.7b

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)))
16.3b	(log.f64 (/.f64 x y))

rewrite124.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

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:

7.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
6.0ms	(*.f64 x (log.f64 (/.f64 x y)))
3.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 1824 to 491 computations (73.1% saved)

series627.0ms (10%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

313.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
164.0ms	(*.f64 x (log.f64 (/.f64 x y)))
126.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 807 to 630 computations (21.9% saved)

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4965	1964
1	4965	1964

prune113.0ms (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

Counts

137 → 8

Compiler

Compiled 2064 to 554 computations (73.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_11703`
8×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
4×	`pow1/3_binary64_11754` `pow1_binary64_11733` `add-log-exp_binary64_11711` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`

Counts

4 → 44

Calls

4 calls:

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

Compiler

Compiled 1108 to 380 computations (65.7% saved)

series322.0ms (5.1%)

Error

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 y)
81.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 852 to 590 computations (30.8% saved)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune59.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	56	8	64

Error

Counts

64 → 8

Compiler

Compiled 1471 to 553 computations (62.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
4.3b	(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite78.0ms (1.2%)

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:

6.0ms	(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)

series553.0ms (8.8%)

Error

Counts

4 → 15

Calls

4 calls:

309.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
82.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)
70.0ms	(cbrt.f64 y)

Compiler

Compiled 1062 to 753 computations (29.1% saved)

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4932	856
1	4932	856

prune84.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Error

Counts

89 → 8

Compiler

Compiled 2083 to 806 computations (61.3% saved)

localize14.0ms (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)
4.9b	(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite79.0ms (1.3%)

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)

series542.0ms (8.6%)

Error

Counts

4 → 15

Calls

4 calls:

287.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
83.0ms	(cbrt.f64 x)
81.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)

Compiler

Compiled 1041 to 732 computations (29.7% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5159	857

prune78.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Error

Counts

89 → 8

Compiler

Compiled 1972 to 737 computations (62.6% saved)

regimes507.0ms (8.1%)

Accuracy

Total 0.2b remaining (97.8%)

Threshold costs 0.2b (97.8%)

Compiler

Compiled 5024 to 3613 computations (28.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	34
1	28	34

end0.0ms (0%)

sample1.8s (29.1%)

Algorithm

1×

intervals

Results

350.0ms	8000×	body	128	valid
216.0ms	778×	body	128	nan
1.0ms	30×	body	128	invalid

Compiler

Compiled 1031 to 739 computations (28.3% saved)

Details

analyze583.0ms (9.3%)

sample23.0ms (0.4%)

simplify274.0ms (4.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite124.0ms (2%)

series627.0ms (10%)

simplify86.0ms (1.4%)

prune113.0ms (1.8%)

localize13.0ms (0.2%)

rewrite47.0ms (0.8%)

series322.0ms (5.1%)

simplify85.0ms (1.4%)

prune59.0ms (0.9%)

localize15.0ms (0.2%)

rewrite78.0ms (1.2%)

series553.0ms (8.8%)

simplify78.0ms (1.2%)

prune84.0ms (1.3%)

localize14.0ms (0.2%)

rewrite79.0ms (1.3%)

series542.0ms (8.6%)

simplify58.0ms (0.9%)

prune78.0ms (1.2%)

regimes507.0ms (8.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (29.1%)

Profiling