Details

analyze1.0s (13.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5196	91
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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample30.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	72×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify161.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	13

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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
0.0b	(*.f64 (-.f64 y z) (-.f64 t x))

rewrite68.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_18855`
12×	`*-un-lft-identity_binary64_18833` `cancel-sign-sub-inv_binary64_18799`
8×	`add-cube-cbrt_binary64_18868` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782` `associate-+r+_binary64_18765`
6×	`flip3--_binary64_18837` `flip--_binary64_18808`
5×	`associate-l_binary64_18774` `associate-r_binary64_18773`
4×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-log-exp_binary64_18872` `add-cbrt-cube_binary64_18869` `frac-times_binary64_18843` `sub-neg_binary64_18826`
2×	`associate-l/_binary64_18776` `associate-r/_binary64_18775` `difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785`
1×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `*-commutative_binary64_18764` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763`

Counts

2 → 57

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
5.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 1056 to 258 computations (75.6% saved)

series630.0ms (8.2%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

360.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
239.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 1588 to 833 computations (47.5% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5123	1382

prune83.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	4	106

Error

Counts

106 → 4

Compiler

Compiled 1391 to 283 computations (79.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 t (-.f64 y z))
0.0b	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
0.0b	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
0.0b	(*.f64 x (-.f64 z y))

rewrite148.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_18855` `cancel-sign-sub-inv_binary64_18799`
22×	`*-un-lft-identity_binary64_18833`
16×	`add-cube-cbrt_binary64_18868` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782`
12×	`associate-*r/_binary64_18775`
11×	`add-log-exp_binary64_18872`
10×	`associate-r_binary64_18773`
9×	`associate-+r+_binary64_18765`
8×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `sub-neg_binary64_18826` `associate-+l+_binary64_18766`
6×	`flip3--_binary64_18837` `flip--_binary64_18808` `associate-l_binary64_18774`
4×	`sum-log_binary64_18924` `frac-add_binary64_18841`
2×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785` `*-commutative_binary64_18764` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763`
1×	`distribute-lft-out_binary64_18784`

Counts

4 → 105

Calls

4 calls:

12.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
8.0ms	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
8.0ms	(*.f64 t (-.f64 y z))
7.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 2309 to 524 computations (77.3% saved)

series838.0ms (10.9%)

Error

Counts

4 → 78

Calls

4 calls:

318.0ms	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
259.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
121.0ms	(*.f64 x (-.f64 z y))
103.0ms	(*.f64 t (-.f64 y z))

Compiler

Compiled 2658 to 1375 computations (48.3% saved)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5147	2477

prune135.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	183	4	187

Error

Counts

187 → 4

Compiler

Compiled 2957 to 440 computations (85.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.f64 (.f64 y (-.f64 t x)) (.f64 z (-.f64 t x))))
0.0b	(*.f64 y (-.f64 t x))
0.0b	(-.f64 (.f64 y (-.f64 t x)) (.f64 z (-.f64 t x)))
0.0b	(*.f64 z (-.f64 t x))

rewrite154.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`cancel-sign-sub-inv_binary64_18799`
26×	`add-sqr-sqrt_binary64_18855`
24×	`*-un-lft-identity_binary64_18833`
20×	`distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782`
18×	`add-cube-cbrt_binary64_18868`
16×	`associate-*r/_binary64_18775` `associate--l+_binary64_18770`
12×	`sub-neg_binary64_18826`
11×	`add-log-exp_binary64_18872`
10×	`associate-r_binary64_18773` `associate-+r+_binary64_18765`
9×	`flip3--_binary64_18837` `flip--_binary64_18808`
8×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `associate--r+_binary64_18769`
6×	`associate-l_binary64_18774`
4×	`frac-sub_binary64_18842`
2×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785` `*-commutative_binary64_18764` `diff-log_binary64_18925` `sub-div_binary64_18840` `sum-log_binary64_18924`
1×	`distribute-rgt-out--_binary64_18787` `flip3-+_binary64_18836` `flip-+_binary64_18807` `distribute-lft-out_binary64_18784` `associate-+r-_binary64_18767` `+-commutative_binary64_18763`

Counts

4 → 119

Calls

4 calls:

12.0ms	(-.f64 (.f64 y (-.f64 t x)) (.f64 z (-.f64 t x)))
12.0ms	(*.f64 z (-.f64 t x))
9.0ms	(+.f64 x (-.f64 (.f64 y (-.f64 t x)) (.f64 z (-.f64 t x))))
7.0ms	(*.f64 y (-.f64 t x))

Compiler

Compiled 2573 to 551 computations (78.6% saved)

series882.0ms (11.5%)

Error

Counts

4 → 78

Calls

4 calls:

297.0ms	(-.f64 (.f64 y (-.f64 t x)) (.f64 z (-.f64 t x)))
292.0ms	(+.f64 x (-.f64 (.f64 y (-.f64 t x)) (.f64 z (-.f64 t x))))
138.0ms	(*.f64 y (-.f64 t x))
118.0ms	(*.f64 z (-.f64 t x))

Compiler

Compiled 2658 to 1368 computations (48.5% saved)

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4990	2252
1	4990	2252

prune133.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	197	4	201

Error

Counts

201 → 4

Compiler

Compiled 2956 to 474 computations (84% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
0.6b	(cbrt.f64 (-.f64 y z))
0.6b	(cbrt.f64 (-.f64 y z))
0.6b	(cbrt.f64 (-.f64 y z))

rewrite219.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_18864`
37×	`add-sqr-sqrt_binary64_18855`
35×	`*-un-lft-identity_binary64_18833`
18×	`cbrt-div_binary64_18865`
15×	`add-cube-cbrt_binary64_18868`
11×	`pow1_binary64_18894`
10×	`swap-sqr_binary64_18800`
9×	`pow1/3_binary64_18915` `flip3--_binary64_18837` `flip--_binary64_18808` `distribute-lft-out--_binary64_18785`
8×	`associate-l_binary64_18774` `associate-r_binary64_18773`
7×	`difference-of-squares_binary64_18802`
6×	`add-exp-log_binary64_18871`
4×	`add-log-exp_binary64_18872` `add-cbrt-cube_binary64_18869` `frac-times_binary64_18843` `unswap-sqr_binary64_18801`
2×	`pow-prod-down_binary64_18904` `pow-prod-up_binary64_18903` `pow-sqr_binary64_18806` `associate-l/_binary64_18776` `associate-r/_binary64_18775`
1×	`pow2_binary64_18914` `pow-plus_binary64_18896` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `*-commutative_binary64_18764`

Counts

4 → 101

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
6.0ms	(cbrt.f64 (-.f64 y z))
6.0ms	(cbrt.f64 (-.f64 y z))
6.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 2826 to 522 computations (81.5% saved)

series524.0ms (6.8%)

Error

Counts

4 → 39

Calls

4 calls:

186.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
100.0ms	(cbrt.f64 (-.f64 y z))
94.0ms	(cbrt.f64 (-.f64 y z))
91.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 2937 to 2013 computations (31.5% saved)

simplify143.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4910	1960
1	4910	1960

prune135.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	140	4	144

Error

Counts

144 → 4

Compiler

Compiled 3449 to 787 computations (77.2% saved)

regimes440.0ms (5.7%)

Accuracy

Total 0.0b remaining (85.8%)

Threshold costs 0.0b (85.8%)

Compiler

Compiled 3488 to 2698 computations (22.6% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	230	19
1	230	19

end0.0ms (0%)

sample1.6s (20.5%)

Algorithm

1×

intervals

Results

279.0ms	8000×	body	128	valid
90.0ms	2519×	body	128	invalid

Compiler

Compiled 613 to 473 computations (22.8% saved)

Details

analyze1.0s (13.3%)

sample30.0ms (0.4%)

simplify161.0ms (2.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite68.0ms (0.9%)

series630.0ms (8.2%)

simplify89.0ms (1.2%)

prune83.0ms (1.1%)

localize10.0ms (0.1%)

rewrite148.0ms (1.9%)

series838.0ms (10.9%)

simplify105.0ms (1.4%)

prune135.0ms (1.8%)

localize15.0ms (0.2%)

rewrite154.0ms (2%)

series882.0ms (11.5%)

simplify110.0ms (1.4%)

prune133.0ms (1.7%)

localize15.0ms (0.2%)

rewrite219.0ms (2.9%)

series524.0ms (6.8%)

simplify143.0ms (1.9%)

prune135.0ms (1.8%)

regimes440.0ms (5.7%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample1.6s (20.5%)

Profiling