Details

analyze889.0ms (4.4%)

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)

sample29.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
3.0ms	83×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	13

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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite110.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_20219`
12×	`*-un-lft-identity_binary64_20197` `cancel-sign-sub-inv_binary64_20163`
8×	`add-cube-cbrt_binary64_20232` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146` `associate-+r+_binary64_20129`
6×	`flip3--_binary64_20201` `flip--_binary64_20172`
5×	`associate-l_binary64_20138` `associate-r_binary64_20137`
4×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-log-exp_binary64_20236` `add-cbrt-cube_binary64_20233` `frac-times_binary64_20207` `sub-neg_binary64_20190`
2×	`associate-l/_binary64_20140` `associate-r/_binary64_20139` `difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149`
1×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `*-commutative_binary64_20128` `sum-log_binary64_20288` `flip3-+_binary64_20200` `flip-+_binary64_20171` `+-commutative_binary64_20127`

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 1012 to 245 computations (75.8% saved)

series786.0ms (3.9%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

450.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
309.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 1167 to 821 computations (29.6% saved)

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5123	1382

prune89.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Error

0.0b

Counts

106 → 6

Compiler

Compiled 961 to 287 computations (70.1% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite232.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_20219` `cancel-sign-sub-inv_binary64_20163`
22×	`*-un-lft-identity_binary64_20197`
16×	`add-cube-cbrt_binary64_20232` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146`
12×	`associate-*r/_binary64_20139`
11×	`add-log-exp_binary64_20236`
10×	`associate-r_binary64_20137`
9×	`associate-+r+_binary64_20129`
8×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `sub-neg_binary64_20190` `associate-+l+_binary64_20130`
6×	`flip3--_binary64_20201` `flip--_binary64_20172` `associate-l_binary64_20138`
4×	`sum-log_binary64_20288` `frac-add_binary64_20205`
2×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149` `*-commutative_binary64_20128` `flip3-+_binary64_20200` `flip-+_binary64_20171` `+-commutative_binary64_20127`
1×	`distribute-lft-out_binary64_20148`

Counts

4 → 105

Calls

4 calls:

10.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
8.0ms	(*.f64 x (-.f64 z y))
8.0ms	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
7.0ms	(*.f64 t (-.f64 y z))

Compiler

Compiled 2204 to 496 computations (77.5% saved)

series1.2s (6.1%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

458.0ms	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
418.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
155.0ms	(*.f64 x (-.f64 z y))
153.0ms	(*.f64 t (-.f64 y z))

Compiler

Compiled 1990 to 1359 computations (31.7% saved)

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5147	2477

prune159.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	183	6	189

Error

Counts

189 → 6

Compiler

Compiled 1730 to 422 computations (75.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 t x) (-.f64 y z))) (cbrt.f64 (*.f64 (-.f64 t x) (-.f64 y z))))
0.8b	(cbrt.f64 (*.f64 (-.f64 t x) (-.f64 y z)))
0.8b	(cbrt.f64 (*.f64 (-.f64 t x) (-.f64 y z)))
0.8b	(cbrt.f64 (*.f64 (-.f64 t x) (-.f64 y z)))

rewrite418.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

168×	`cbrt-div_binary64_20229`
148×	`frac-times_binary64_20207`
126×	`flip3--_binary64_20201` `flip--_binary64_20172`
50×	`associate-l/_binary64_20140` `associate-r/_binary64_20139`
11×	`pow1_binary64_20258`
10×	`add-sqr-sqrt_binary64_20219`
9×	`pow1/3_binary64_20279`
8×	`add-cube-cbrt_binary64_20232` `*-un-lft-identity_binary64_20197`
7×	`cbrt-prod_binary64_20228`
6×	`add-exp-log_binary64_20235`
4×	`add-log-exp_binary64_20236` `add-cbrt-cube_binary64_20233` `swap-sqr_binary64_20164` `associate-l_binary64_20138` `associate-r_binary64_20137`
2×	`pow-prod-down_binary64_20268` `pow-prod-up_binary64_20267` `pow-sqr_binary64_20170`
1×	`pow2_binary64_20278` `pow-plus_binary64_20260` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `*-commutative_binary64_20128`

Counts

4 → 162

Calls

4 calls:

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

Compiler

Compiled 8014 to 1569 computations (80.4% saved)

series8.3s (41.2%)

Error

Counts

4 → 99

Calls

4 calls:

4.0s	(.f64 (cbrt.f64 (.f64 (-.f64 t x) (-.f64 y z))) (cbrt.f64 (*.f64 (-.f64 t x) (-.f64 y z))))
1.4s	(cbrt.f64 (*.f64 (-.f64 t x) (-.f64 y z)))
1.3s	(cbrt.f64 (*.f64 (-.f64 t x) (-.f64 y z)))
1.3s	(cbrt.f64 (*.f64 (-.f64 t x) (-.f64 y z)))

Compiler

Compiled 23026 to 14189 computations (38.4% saved)

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5063	13157

prune539.0ms (2.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	261	6	267

Error

Counts

267 → 6

Compiler

Compiled 10858 to 3043 computations (72% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))
0.6b	(cbrt.f64 (-.f64 t x))
0.6b	(cbrt.f64 (-.f64 t x))
0.6b	(cbrt.f64 (-.f64 t x))

rewrite199.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_20228`
37×	`add-sqr-sqrt_binary64_20219`
35×	`*-un-lft-identity_binary64_20197`
18×	`cbrt-div_binary64_20229`
15×	`add-cube-cbrt_binary64_20232`
11×	`pow1_binary64_20258`
10×	`swap-sqr_binary64_20164`
9×	`pow1/3_binary64_20279` `flip3--_binary64_20201` `flip--_binary64_20172` `distribute-lft-out--_binary64_20149`
8×	`associate-l_binary64_20138` `associate-r_binary64_20137`
7×	`difference-of-squares_binary64_20166`
6×	`add-exp-log_binary64_20235`
4×	`add-log-exp_binary64_20236` `add-cbrt-cube_binary64_20233` `frac-times_binary64_20207` `unswap-sqr_binary64_20165`
2×	`pow-prod-down_binary64_20268` `pow-prod-up_binary64_20267` `pow-sqr_binary64_20170` `associate-l/_binary64_20140` `associate-r/_binary64_20139`
1×	`pow2_binary64_20278` `pow-plus_binary64_20260` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `*-commutative_binary64_20128`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))
3.0ms	(cbrt.f64 (-.f64 t x))
3.0ms	(cbrt.f64 (-.f64 t x))
3.0ms	(cbrt.f64 (-.f64 t x))

Compiler

Compiled 2502 to 514 computations (79.5% saved)

series592.0ms (2.9%)

Error

Counts

4 → 36

Calls

4 calls:

203.0ms	(*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))
123.0ms	(cbrt.f64 (-.f64 t x))
115.0ms	(cbrt.f64 (-.f64 t x))
111.0ms	(cbrt.f64 (-.f64 t x))

Compiler

Compiled 2316 to 1667 computations (28% saved)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4980	1815
1	4980	1815

prune161.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	137	6	143

Error

Counts

143 → 6

Compiler

Compiled 2186 to 564 computations (74.2% saved)

regimes5.0s (24.8%)

Accuracy

Total 0.0b remaining (64%)

Threshold costs 0.0b (64%)

Compiler

Compiled 42246 to 28807 computations (31.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	22
1	51	22

end2.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

sample886.0ms (4.4%)

Algorithm

1×

intervals

Results

241.0ms	8000×	body	128	valid
72.0ms	2463×	body	128	invalid

Compiler

Compiled 156 to 113 computations (27.6% saved)

Details

analyze889.0ms (4.4%)

sample29.0ms (0.1%)

simplify129.0ms (0.6%)

prune3.0ms (0%)

localize7.0ms (0%)

rewrite110.0ms (0.5%)

series786.0ms (3.9%)

simplify68.0ms (0.3%)

prune89.0ms (0.4%)

localize9.0ms (0%)

rewrite232.0ms (1.1%)

series1.2s (6.1%)

simplify79.0ms (0.4%)

prune159.0ms (0.8%)

localize14.0ms (0.1%)

rewrite418.0ms (2.1%)

series8.3s (41.2%)

simplify134.0ms (0.7%)

prune539.0ms (2.7%)

localize14.0ms (0.1%)

rewrite199.0ms (1%)

series592.0ms (2.9%)

simplify91.0ms (0.5%)

prune161.0ms (0.8%)

regimes5.0s (24.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end2.0ms (0%)

sample886.0ms (4.4%)

Profiling