Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

378×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune7.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.1b	(* (* a z) b)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* (* a z) b)

series171.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
45.0ms	(+ (+ x (* y z)) (* t a))
24.0ms	(* (* a z) b)

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune142.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* a z) b)
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series326.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* a z) b)
89.0ms	(cbrt (* (* a z) b))
89.0ms	(cbrt (* (* a z) b))
124.0ms	(cbrt (* (* a z) b))

simplify72.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	210

prune191.0ms

Filtered

57 candidates to 48 candidates (84.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	55	6	61

Merged error: 0.0b

Counts

61 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* a z) b)
12.4b	(cbrt (* a z))
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
2.0ms	(cbrt (* a z))
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series296.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* a z) b)
63.0ms	(cbrt (* a z))
103.0ms	(cbrt (* (* a z) b))
100.0ms	(cbrt (* (* a z) b))

simplify78.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	217	264
1	796	220
2	3398	204
3	5001	188

prune207.0ms

Filtered

57 candidates to 46 candidates (80.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* a z) b)
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
10.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* a z) b)
87.0ms	(cbrt (* (* a z) b))
87.0ms	(cbrt (* (* a z) b))
88.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

simplify103.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	196	341
1	753	283
2	3300	271
3	5001	215

prune235.0ms

Filtered

57 candidates to 47 candidates (82.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

regimes343.0ms

Accuracy

52.9% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.2b

bsearch99.0ms

Steps

Iters	Range		Point
7	8.159385375042528e-231	5.972739546014516e-229	2.3003309036612485e-230
8	-3.0278202934130656e+85	-2.9943008832151294e+82	-2.534993053910231e+84

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

end0.0ms

sample915.0ms

Algorithm

intervals

Results

519.0ms

11822×

body

valid