Details

analyze73.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample19.0ms

Algorithm

intervals

Results

11.0ms	249×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	4×	body	80	invalid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	41	5
1	41	5

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 d1 (+.f64 d2 30))

simplify48.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4880	159
1	4880	159

prune29.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 d2 30))
0.2b	(cbrt.f64 (+.f64 d2 30))
0.3b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
0.4b	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div_binary64`
42×	`associate-*r/_binary64`
35×	`flip3-+_binary64` `flip-+_binary64`
32×	`frac-times_binary64`
18×	`pow1_binary64` `add-exp-log_binary64`
16×	`associate-*l/_binary64`
15×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
11×	`add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
8×	`associate-r_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow1/3_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 106

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 d2 30))
3.0ms	(cbrt.f64 (+.f64 d2 30))
18.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
13.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 d2 30))
5.0ms	(cbrt.f64 (+.f64 d2 30))
6.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
17.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))

simplify41.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5504	1656

prune108.0ms

Filtered

75 candidates to 118 candidates (-57.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	118	4	122

Merged error: 0b

Counts

122 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 d2 d2) 900)
2.6b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
9.8b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

4.0ms	(-.f64 (*.f64 d2 d2) 900)
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

series32.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(-.f64 (*.f64 d2 d2) 900)
11.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
15.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

simplify46.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6497	678

prune59.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Merged error: 0b

Counts

77 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 d2 (-.f64 d2 30))
0.0b	(+.f64 (pow.f64 d2 3) 27000)
3.8b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
15.3b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 900 (.f64 d2 (-.f64 d2 30))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l*_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 84

Calls

4 calls:

7.0ms	(*.f64 d2 (-.f64 d2 30))
6.0ms	(+.f64 (pow.f64 d2 3) 27000)
9.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
12.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 900 (.f64 d2 (-.f64 d2 30))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 d2 (-.f64 d2 30))
6.0ms	(+.f64 (pow.f64 d2 3) 27000)
15.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
33.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 900 (.f64 d2 (-.f64 d2 30))))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4924	926
1	4924	926

prune83.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	96	4	100

Merged error: 0b

Counts

100 → 4

regimes75.0ms

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	7	5
1	7	5

end0.0ms

sample384.0ms

Algorithm

intervals

Results

237.0ms	7862×	body	80	valid
7.0ms	54×	body	1280	valid
4.0ms	42×	body	640	valid
3.0ms	94×	body	80	invalid
2.0ms	26×	body	320	valid
1.0ms	16×	body	160	valid

Details

analyze73.0ms

sample19.0ms

simplify6.0ms

prune8.0ms

localize3.0ms

rewrite7.0ms

series5.0ms

simplify48.0ms

prune29.0ms

localize7.0ms

rewrite42.0ms

series37.0ms

simplify41.0ms

prune108.0ms

localize8.0ms

rewrite25.0ms

series32.0ms

simplify46.0ms

prune59.0ms

localize10.0ms

rewrite36.0ms

series59.0ms

simplify53.0ms

prune83.0ms

regimes75.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample384.0ms

Profiling