Details

analyze347.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

sample23.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5018	25

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1.0 (+.f64 2.0 (.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))))
0.0b	(.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
3.2b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
3.2b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
12×	`difference-of-squares_binary64`
11×	`pow1_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `swap-sqr_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`sub-neg_binary64` `frac-times_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`diff-log_binary64` `associate-r/_binary64` `associate-/r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-sqr_binary64` `flip-+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

5.0ms	(/.f64 1.0 (+.f64 2.0 (.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))))
23.0ms	(.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

series19.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/.f64 1.0 (+.f64 2.0 (.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))))
4.0ms	(.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
3.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
4.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

simplify63.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4883	2095
1	4883	2095

prune171.0ms

Filtered

84 candidates to 115 candidates (-36.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	2	116

Merged error: 0b

Counts

116 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
3.2b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
3.2b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
3.2b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
8×	`difference-of-squares_binary64`
6×	`cbrt-prod_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `diff-log_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 58

Calls

4 calls:

9.0ms	(cbrt.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
11.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
3.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
3.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
4.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

simplify50.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4959	1103
1	4959	1103

prune143.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 3))
3.2b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
3.2b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
18×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64` `difference-of-squares_binary64` `cube-prod_binary64`
10×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64`
6×	`distribute-lft-out--_binary64` `times-frac_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `cube-div_binary64` `flip--_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `sub-neg_binary64` `diff-log_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 88

Calls

4 calls:

10.0ms	(pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 3)
12.0ms	(cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 3))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 3)
4.0ms	(cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 3))
3.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
4.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5076	1528

prune119.0ms

Filtered

63 candidates to 100 candidates (-58.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Merged error: 0b

Counts

102 → 2

regimes27.0ms

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	52	39
1	52	39

end0.0ms

sample652.0ms

Algorithm

intervals

Results

549.0ms

8000×

body

valid

Details

analyze347.0ms

sample23.0ms

simplify58.0ms

prune6.0ms

localize9.0ms

rewrite49.0ms

series19.0ms

simplify63.0ms

prune171.0ms

localize14.0ms

rewrite39.0ms

series20.0ms

simplify50.0ms

prune143.0ms

localize13.0ms

rewrite45.0ms

series15.0ms

simplify54.0ms

prune119.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample652.0ms

Profiling