Details

analyze1.0s

Algorithm

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
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4943	13
1	4943	13

prune4.0ms

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: 2.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1.0) a)
0.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a)))
11.2b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity_binary64`
203×	`times-frac_binary64`
136×	`add-sqr-sqrt_binary64`
87×	`add-cube-cbrt_binary64`
44×	`distribute-lft-out_binary64`
43×	`distribute-lft-out--_binary64`
23×	`difference-of-squares_binary64`
22×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `flip-+_binary64`

Counts

3 → 191

Calls

3 calls:

9.0ms	(/.f64 (+.f64 (-.f64 t z) 1.0) a)
34.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a)))
14.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a))

series106.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 (+.f64 (-.f64 t z) 1.0) a)
36.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a)))
63.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a))

simplify57.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5358	3545

prune180.0ms

Filtered

119 candidates to 200 candidates (-68.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	5	201

Merged error: 0b

Counts

201 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a))
0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
1.4b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64`
54×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
27×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
11×	`difference-of-squares_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`associate-r_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

3.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a))
11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
17.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a)

series86.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a))
15.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
35.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a)

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5768	1629

prune94.0ms

Filtered

76 candidates to 122 candidates (-60.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a)))
0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
1.4b	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac_binary64`
929×	`*-un-lft-identity_binary64`
570×	`add-sqr-sqrt_binary64`
393×	`add-cube-cbrt_binary64`
153×	`distribute-lft-out--_binary64`
152×	`distribute-lft-out_binary64`
83×	`difference-of-squares_binary64`
48×	`div-inv_binary64`
36×	`associate-/l*_binary64`
31×	`associate-/r/_binary64`
27×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
17×	`add-cbrt-cube_binary64` `div-exp_binary64`
15×	`flip3-+_binary64` `flip-+_binary64`
9×	`cbrt-undiv_binary64`
5×	`add-log-exp_binary64` `div-sub_binary64`
3×	`associate-/l/_binary64` `pow1_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64`

Counts

3 → 544

Calls

3 calls:

94.0ms	(-.f64 x (/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a)))
11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
26.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a))

series92.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 x (/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a)))
13.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
43.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a))

simplify112.0ms

Algorithm

egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6093	12838

prune323.0ms

Filtered

225 candidates to 553 candidates (-145.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	553	5	558

Merged error: 0b

Counts

558 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1.0))))
0.0b	(/.f64 a (+.f64 (-.f64 t z) 1.0))
11.1b	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
30×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
14×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-l*_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `-commutative_binary64`

Counts

3 → 94

Calls

3 calls:

6.0ms	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1.0))))
8.0ms	(/.f64 a (+.f64 (-.f64 t z) 1.0))
16.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1.0)))

series70.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(-.f64 x (*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1.0))))
10.0ms	(/.f64 a (+.f64 (-.f64 t z) 1.0))
22.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5018	1252

prune78.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	103	5	108

Merged error: 0b

Counts

108 → 5

regimes556.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	163	13
1	163	13

end0.0ms

sample584.0ms

Algorithm

intervals

Results

316.0ms	7996×	body	80	valid
18.0ms	477×	body	80	invalid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze1.0s

sample23.0ms

simplify76.0ms

prune4.0ms

localize9.0ms

rewrite73.0ms

series106.0ms

simplify57.0ms

prune180.0ms

localize9.0ms

rewrite36.0ms

series86.0ms

simplify45.0ms

prune94.0ms

localize11.0ms

rewrite174.0ms

series92.0ms

simplify112.0ms

prune323.0ms

localize10.0ms

rewrite33.0ms

series70.0ms

simplify49.0ms

prune78.0ms

regimes556.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample584.0ms

Profiling