Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

299×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	3

prune2.0ms

Filtered

1 candidates to 0 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: 2.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b	(* x (- 1.0 (* y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

9.0ms

(* x (- 1.0 (* y z)))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* x (- 1.0 (* y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	141	138
1	551	122
2	2066	122
3	5001	122

prune48.0ms

Filtered

31 candidates to 19 candidates (61.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	22	9	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	9	32

Merged error: 2.3b

Counts

32 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
4.3b	(* x (- (* y z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-r`
24×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `associate-l`
14×	`distribute-rgt-neg-in`
12×	`distribute-lft-neg-in` `add-cube-cbrt`
10×	`distribute-lft-out`
5×	`*-commutative`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`distribute-rgt-neg-out` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

2 → 68

Calls

2 calls:

29.0ms	(+ (* x 1.0) (* x (- (* y z))))
9.0ms	(* x (- (* y z)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x 1.0) (* x (- (* y z))))
26.0ms	(* x (- (* y z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	284	307
1	1424	275
2	5001	271

prune96.0ms

Filtered

74 candidates to 52 candidates (70.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	8	0	8
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

1.9b	(* x (* (cbrt (* y z)) (cbrt (* y z))))
8.8b	(cbrt (* y z))
8.8b	(cbrt (* y z))
8.8b	(cbrt (* y z))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-sqr-sqrt`
116×	`cbrt-prod`
97×	`associate-r`
54×	`unswap-sqr`
41×	`associate-l`
35×	`*-un-lft-identity`
31×	`add-cube-cbrt`
20×	`swap-sqr`
14×	`add-cbrt-cube`
10×	`*-commutative`
9×	`pow1` `add-exp-log` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp`

Counts

4 → 156

Calls

4 calls:

28.0ms	(* x (* (cbrt (* y z)) (cbrt (* y z))))
3.0ms	(cbrt (* y z))
3.0ms	(cbrt (* y z))
3.0ms	(cbrt (* y z))

series281.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* x (* (cbrt (* y z)) (cbrt (* y z))))
66.0ms	(cbrt (* y z))
65.0ms	(cbrt (* y z))
69.0ms	(cbrt (* y z))

simplify55.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	491	1144
1	1832	1065
2	5002	981

prune319.0ms

Filtered

168 candidates to 121 candidates (72.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	168	5	173

Merged error: 0.0b

Counts

173 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y)))
5.9b	(* (* x z) (- y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`associate-r`
10×	`add-cube-cbrt` `distribute-lft-out`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`*-commutative`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

2 → 62

Calls

2 calls:

22.0ms	(+ (* x 1.0) (* (* x z) (- y)))
9.0ms	(* (* x z) (- y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x 1.0) (* (* x z) (- y)))
28.0ms	(* (* x z) (- y))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	293	323
1	1360	284
2	5002	274

prune102.0ms

Filtered

68 candidates to 49 candidates (72.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

regimes117.0ms

Accuracy

94.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	12
1	46	12
2	52	12
3	52	12

end0.0ms

sample394.0ms

Algorithm

intervals

Results

193.0ms

9584×

body

valid