Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

372×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	25	6
1	69	5
2	195	4
3	461	4
4	969	4
5	1760	4
6	2455	4
7	3258	4
8	3451	4
9	3451	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- d2 d3) (- d4 d1))
0.0b	(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
14×	`add-log-exp`
8×	`flip3--` `frac-add` `flip--` `distribute-lft-out` `distribute-lft-out--`
7×	`associate-r`
6×	`add-sqr-sqrt` `associate-*r/`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube`
3×	`associate-l`
2×	`sub-neg` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `associate-+r-` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 58

Calls

2 calls:

9.0ms	(+ (- d2 d3) (- d4 d1))
12.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (- d2 d3) (- d4 d1))
49.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	391	410
1	1841	378
2	5002	378

prune105.0ms

Filtered

64 candidates to 42 candidates (65.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	63	3	66

Merged error: 0b

Counts

66 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (- d4 d1))
0.0b	(* d1 (- d2 d3))
0.0b	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`associate-*r/`
11×	`*-un-lft-identity`
10×	`associate-r`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`flip3--` `associate-l` `flip--`
5×	`add-log-exp`
4×	`associate-+l+` `associate-+r+` `frac-add`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 76

Calls

3 calls:

6.0ms	(* d1 (- d4 d1))
6.0ms	(* d1 (- d2 d3))
8.0ms	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* d1 (- d4 d1))
35.0ms	(* d1 (- d2 d3))
55.0ms	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

simplify64.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	407	422
1	2021	395
2	5001	395

prune126.0ms

Filtered

85 candidates to 54 candidates (63.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
1.5b	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
1.5b	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
1.5b	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

108×	`associate-*r/`
102×	`cbrt-div`
68×	`flip3--` `frac-add` `flip--`
36×	`frac-times`
17×	`flip3-+` `flip-+`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log` `associate-*l/`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

10.0ms	(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
13.0ms	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
10.0ms	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
10.0ms	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

series1.6s

Counts

4 → 12

Calls

4 calls:

476.0ms	(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
381.0ms	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
379.0ms	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
381.0ms	(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

simplify76.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	490	2859
1	1730	2779
2	5001	2725

prune448.0ms

Filtered

136 candidates to 101 candidates (74.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Merged error: 0b

Counts

139 → 3

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample812.0ms

Algorithm

intervals

Results

514.0ms

11868×

body

valid

Details

sample31.0ms

simplify87.0ms

prune6.0ms

localize7.0ms

rewrite23.0ms

series79.0ms

simplify53.0ms

prune105.0ms

localize8.0ms

rewrite23.0ms

series128.0ms

simplify64.0ms

prune126.0ms

localize11.0ms

rewrite54.0ms

series1.6s

simplify76.0ms

prune448.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample812.0ms

Profiling