Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune2.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_590`
8×	`pow1_binary64_532`
7×	`add-sqr-sqrt_binary64_575`
6×	`swap-sqr_binary64_617` `flip-+_binary64_615` `distribute-lft-out_binary64_634` `flip3-+_binary64_588`
5×	`add-cube-cbrt_binary64_561`
4×	`frac-times_binary64_582` `associate-l_binary64_650` `associate-r_binary64_649`
3×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554`
2×	`associate-l/_binary64_652` `associate-r/_binary64_651`
1×	`cbrt-unprod_binary64_559` `pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `unswap-sqr_binary64_618` `pow2_binary64_523` `prod-exp_binary64_537` `distribute-rgt-in_binary64_633` `*-commutative_binary64_658` `add-log-exp_binary64_555` `pow-plus_binary64_527` `distribute-lft-in_binary64_632` `pow-sqr_binary64_623`

Counts

1 → 40

Calls

1 calls:

20.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

simplify48.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5647	523

prune20.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 a 3) (pow.f64 b 3))
0.0b	(-.f64 (.f64 b b) (.f64 a b))
0.3b	(*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
0.5b	(/.f64 (.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (.f64 a a) (-.f64 (.f64 b b) (.f64 a b))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_590`
14×	`flip-+_binary64_615` `flip3-+_binary64_588`
11×	`add-cbrt-cube_binary64_562` `distribute-lft-out_binary64_634` `add-exp-log_binary64_554`
10×	`add-sqr-sqrt_binary64_575`
9×	`associate-r_binary64_649`
8×	`unpow-prod-down_binary64_521` `add-cube-cbrt_binary64_561` `frac-times_binary64_582` `add-log-exp_binary64_555` `cube-prod_binary64_563` `associate-/l/_binary64_656`
6×	`pow1_binary64_532`
4×	`associate-l_binary64_650` `associate-l/_binary64_652` `associate-r/_binary64_651`
3×	`times-frac_binary64_585` `associate-/r*_binary64_653`
2×	`cbrt-unprod_binary64_559` `cbrt-undiv_binary64_560` `prod-exp_binary64_537` `sum-cubes_binary64_586` `associate-/r/_binary64_655` `div-exp_binary64_539`
1×	`pow-prod-down_binary64_513` `sub-neg_binary64_594` `+-commutative_binary64_657` `flip--_binary64_616` `div-inv_binary64_591` `unswap-sqr_binary64_618` `distribute-rgt-in_binary64_633` `-commutative_binary64_658` `distribute-rgt-out--_binary64_637` `frac-2neg_binary64_583` `flip3--_binary64_589` `distribute-lft-in_binary64_632` `associate-/l_binary64_654` `clear-num_binary64_593` `diff-log_binary64_501` `sum-log_binary64_500`

Counts

4 → 95

Calls

4 calls:

11.0ms	(+.f64 (pow.f64 a 3) (pow.f64 b 3))
4.0ms	(-.f64 (.f64 b b) (.f64 a b))
16.0ms	(*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
22.0ms	(/.f64 (.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (.f64 a a) (-.f64 (.f64 b b) (.f64 a b))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+.f64 (pow.f64 a 3) (pow.f64 b 3))
25.0ms	(-.f64 (.f64 b b) (.f64 a b))
40.0ms	(*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
50.0ms	(/.f64 (.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (.f64 a a) (-.f64 (.f64 b b) (.f64 a b))))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5127	2348

prune97.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 a 3) (pow.f64 b 3))
0.0b	(*.f64 b (-.f64 b a))
0.0b	(.f64 (+.f64 a b) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
0.2b	(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 a a) (.f64 b (-.f64 b a))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_590`
55×	`times-frac_binary64_585`
43×	`add-sqr-sqrt_binary64_575`
41×	`distribute-lft-out_binary64_634`
38×	`associate-r_binary64_649`
34×	`add-cube-cbrt_binary64_561`
32×	`unpow-prod-down_binary64_521` `cube-prod_binary64_563`
13×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554`
9×	`associate-/l*_binary64_654`
8×	`sum-cubes_binary64_586` `pow1_binary64_532`
7×	`associate-l_binary64_650`
6×	`flip-+_binary64_615` `add-log-exp_binary64_555` `flip3-+_binary64_588`
4×	`associate-/r/_binary64_655`
3×	`cbrt-unprod_binary64_559` `unswap-sqr_binary64_618` `prod-exp_binary64_537` `associate-/r_binary64_653` `associate-r/_binary64_651`
2×	`pow-prod-down_binary64_513` `sub-neg_binary64_594` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `frac-times_binary64_582` `-commutative_binary64_658` `associate-/l/_binary64_656` `associate-l/_binary64_652` `div-exp_binary64_539`
1×	`+-commutative_binary64_657` `flip--_binary64_616` `difference-of-squares_binary64_619` `distribute-rgt-in_binary64_633` `frac-2neg_binary64_583` `flip3--_binary64_589` `distribute-lft-in_binary64_632` `distribute-lft-out--_binary64_635` `clear-num_binary64_593` `sum-log_binary64_500`

Counts

4 → 153

Calls

4 calls:

10.0ms	(+.f64 (pow.f64 a 3) (pow.f64 b 3))
6.0ms	(*.f64 b (-.f64 b a))
27.0ms	(.f64 (+.f64 a b) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
16.0ms	(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 a a) (.f64 b (-.f64 b a))))

series173.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+.f64 (pow.f64 a 3) (pow.f64 b 3))
22.0ms	(*.f64 b (-.f64 b a))
44.0ms	(.f64 (+.f64 a b) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
74.0ms	(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 a a) (.f64 b (-.f64 b a))))

simplify95.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5671	4495

prune113.0ms

Filtered

96 candidates to 165 candidates (-71.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	165	5	170

Merged error: 0b

Counts

170 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.8b	(exp.f64 (*.f64 2 (log.f64 (+.f64 a b))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`exp-sum_binary64_545` `log-prod_binary64_504`
7×	`*-un-lft-identity_binary64_590`
4×	`distribute-rgt-in_binary64_633` `distribute-lft-in_binary64_632`
3×	`add-cube-cbrt_binary64_561` `add-log-exp_binary64_555` `add-sqr-sqrt_binary64_575`
2×	`distribute-lft-out_binary64_634`
1×	`exp-prod_binary64_540` `add-cbrt-cube_binary64_562` `rem-exp-log_binary64_552` `add-exp-log_binary64_554` `pow1_binary64_532` `exp-to-pow_binary64_526`

Counts

1 → 18

Calls

1 calls:

4.0ms

(exp.f64 (*.f64 2 (log.f64 (+.f64 a b))))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(exp.f64 (*.f64 2 (log.f64 (+.f64 a b))))

simplify79.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4895	186
1	4895	186

prune5.0ms

Filtered

8 candidates to 21 candidates (-162.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	21	5	26

Merged error: 0b

Counts

26 → 5

regimes46.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	10
1	6	10

end0.0ms

sample455.0ms

Algorithm

intervals

Results

182.0ms	8000×	pre	80	true
135.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample24.0ms

simplify22.0ms

prune2.0ms

localize6.0ms

rewrite22.0ms

series20.0ms

simplify48.0ms

prune20.0ms

localize16.0ms

rewrite56.0ms

series154.0ms

simplify63.0ms

prune97.0ms

localize14.0ms

rewrite68.0ms

series173.0ms

simplify95.0ms

prune113.0ms

localize7.0ms

rewrite5.0ms

series15.0ms

simplify79.0ms

prune5.0ms

regimes46.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample455.0ms

Profiling