Details

analyze528.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5301	182
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	198×	body	128	valid
8.0ms	14×	body	1024	valid
6.0ms	22×	body	512	valid
3.0ms	22×	body	256	valid
1.0ms	9×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify127.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5003	26

prune3.0ms (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

5.7b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
4.6b	(log.f64 (-.f64 1 y))

rewrite199.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.6b

Rules

37×	`add-sqr-sqrt_binary64_782`
31×	`*-un-lft-identity_binary64_760`
24×	`log-prod_binary64_846`
14×	`add-cube-cbrt_binary64_795` `associate-l_binary64_701`
11×	`pow1_binary64_821` `difference-of-squares_binary64_729`
9×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
8×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
6×	`distribute-lft-out--_binary64_712`
4×	`flip3--_binary64_764` `flip--_binary64_735` `associate-*l/_binary64_703`
3×	`log-pow_binary64_849` `cancel-sign-sub-inv_binary64_726`
2×	`log-div_binary64_847` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `difference-of-sqr-1_binary64_730` `*-commutative_binary64_691` `diff-log_binary64_852`
1×	`rem-log-exp_binary64_801` `sum-log_binary64_851` `sub-neg_binary64_753` `associate--l+_binary64_697`

Counts

4 → 103

Calls

4 calls:

11.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
10.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2639 to 1790 computations (32.2% saved)

series1.8s (16.1%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

1.2s	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
251.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
245.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
35.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2458 to 1896 computations (22.9% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4969	2650
1	4969	2650

prune215.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	146	6	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	6	153

Error

0.0b

Counts

153 → 6

Compiler

Compiled 3438 to 2248 computations (34.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (log.f64 y) (+.f64 -1 x))
0.4b	(*.f64 1/3 y)
0.4b	(*.f64 1/3 y)
6.7b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))

rewrite198.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_821`
19×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
17×	`add-sqr-sqrt_binary64_782`
13×	`-un-lft-identity_binary64_760` `associate-l*_binary64_701`
11×	`add-cube-cbrt_binary64_795` `associate-r_binary64_700`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
6×	`associate-*r/_binary64_702`
5×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
4×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
3×	`unswap-sqr_binary64_728`
2×	`flip3-+_binary64_763` `flip-+_binary64_734`
1×	`log-pow_binary64_849` `distribute-lft-out_binary64_711`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
6.0ms	(*.f64 (log.f64 y) (+.f64 -1 x))
4.0ms	(*.f64 1/3 y)
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 3683 to 2033 computations (44.8% saved)

series531.0ms (4.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

237.0ms	(*.f64 (log.f64 y) (+.f64 -1 x))
202.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
31.0ms	(*.f64 1/3 y)
24.0ms	(*.f64 1/3 y)

Compiler

Compiled 2418 to 1622 computations (32.9% saved)

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4970	1205
1	4970	1205

prune208.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Error

0.0b

Counts

117 → 6

Compiler

Compiled 4544 to 2549 computations (43.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
6.7b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))

rewrite235.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`cbrt-prod_binary64_791`
28×	`pow1_binary64_821`
23×	`add-sqr-sqrt_binary64_782`
17×	`*-un-lft-identity_binary64_760`
15×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795`
13×	`add-cbrt-cube_binary64_796`
10×	`associate-l_binary64_701`
9×	`swap-sqr_binary64_727`
8×	`pow-prod-down_binary64_831` `associate-r_binary64_700` `pow1/3_binary64_842` `log-pow_binary64_849`
7×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
4×	`add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-*r/_binary64_702` `unswap-sqr_binary64_728`
2×	`*-commutative_binary64_691` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `pow2_binary64_841` `pow-plus_binary64_823`

Counts

4 → 96

Calls

4 calls:

11.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
7.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))

Compiler

Compiled 4950 to 2246 computations (54.6% saved)

series876.0ms (7.7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

220.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
211.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
208.0ms	(cbrt.f64 (log.f64 y))
200.0ms	(cbrt.f64 (log.f64 y))

Compiler

Compiled 2397 to 1551 computations (35.3% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5017	1355

prune247.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Error

0.0b

Counts

120 → 5

Compiler

Compiled 5574 to 2708 computations (51.4% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (log.f64 y))
0.5b	(pow.f64 (log.f64 y) 2)
1.2b	(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
6.7b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))

rewrite221.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_821` `unpow-prod-down_binary64_839`
16×	`add-exp-log_binary64_798`
13×	`add-cbrt-cube_binary64_796`
11×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-unpow_binary64_837`
5×	`pow-exp_binary64_828`
4×	`add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-*r/_binary64_702` `cbrt-prod_binary64_791`
3×	`associate-l_binary64_701` `log-pow_binary64_849` `sqr-pow_binary64_732` `pow-to-exp_binary64_829`
2×	`unpow2_binary64_825` `pow-pow_binary64_832`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-r_binary64_700` `*-commutative_binary64_691` `unpow1/3_binary64_827` `pow1/3_binary64_842`

Counts

4 → 84

Calls

4 calls:

10.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
4.0ms	(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
2.0ms	(pow.f64 (log.f64 y) 2)
1.0ms	(cbrt.f64 (log.f64 y))

Compiler

Compiled 4241 to 2389 computations (43.7% saved)

series781.0ms (6.8%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

219.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
214.0ms	(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
200.0ms	(cbrt.f64 (log.f64 y))
114.0ms	(pow.f64 (log.f64 y) 2)

Compiler

Compiled 2340 to 1658 computations (29.1% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4962	1144
1	4962	1144

prune236.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	102	5	107

Error

0.0b

Counts

107 → 5

Compiler

Compiled 4748 to 2653 computations (44.1% saved)

regimes1.5s (12.8%)

Accuracy

Total 0.2b remaining (90.4%)

Threshold costs 0.2b (90.4%)

Compiler

Compiled 18500 to 15030 computations (18.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	144	54
1	144	54

end0.0ms (0%)

sample3.1s (27.3%)

Algorithm

1×

intervals

Results

453.0ms	6077×	body	128	valid
253.0ms	515×	body	1024	valid
222.0ms	806×	body	512	valid
93.0ms	602×	body	256	valid
20.0ms	271×	body	128	nan
2.0ms	33×	body	128	invalid

Compiler

Compiled 2005 to 1616 computations (19.4% saved)

Details

analyze528.0ms (4.6%)

sample48.0ms (0.4%)

simplify127.0ms (1.1%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite199.0ms (1.7%)

series1.8s (16.1%)

simplify71.0ms (0.6%)

prune215.0ms (1.9%)

localize19.0ms (0.2%)

rewrite198.0ms (1.7%)

series531.0ms (4.7%)

simplify55.0ms (0.5%)

prune208.0ms (1.8%)

localize24.0ms (0.2%)

rewrite235.0ms (2.1%)

series876.0ms (7.7%)

simplify70.0ms (0.6%)

prune247.0ms (2.2%)

localize29.0ms (0.3%)

rewrite221.0ms (1.9%)

series781.0ms (6.8%)

simplify75.0ms (0.7%)

prune236.0ms (2.1%)

regimes1.5s (12.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (27.3%)

Profiling