Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

347×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

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: 6.9b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z y))
6.6b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series85.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* x y) (* z y))
50.0ms	(* (- (* x y) (* z y)) t)

simplify110.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune96.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
7.3b	(* y (* (- x z) t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

6.0ms	(* (- x z) t)
8.0ms	(* y (* (- x z) t))

series74.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- x z) t)
41.0ms	(* y (* (- x z) t))

simplify116.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	193
1	784	160
2	4688	160
3	5001	160

prune104.0ms

Filtered

48 candidates to 33 candidates (68.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	44	11	55

Merged error: 0.0b

Counts

55 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
9.1b	(cbrt (- (* x y) (* z y)))
9.1b	(cbrt (- (* x y) (* z y)))
9.1b	(cbrt (- (* x y) (* z y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod`
10×	`add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-rgt-out--` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 90

Calls

4 calls:

17.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
6.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))
4.0ms	(cbrt (- (* x y) (* z y)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
123.0ms	(cbrt (- (* x y) (* z y)))
122.0ms	(cbrt (- (* x y) (* z y)))
124.0ms	(cbrt (- (* x y) (* z y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	484	1784
1	1391	1557
2	5001	1464

prune272.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	5	3	8
Picked	0	1	1
Done	0	2	2
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (* t y) (- x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* t y) (- x z))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (* t y) (- x z))

simplify110.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	177	134
1	820	111
2	4326	111
3	5002	111

prune36.0ms

Filtered

29 candidates to 16 candidates (55.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	3	3
Picked	0	1	1
Done	1	2	3
Total	29	7	36

Merged error: 0b

Counts

36 → 7

regimes295.0ms

Accuracy

79.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 6.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample545.0ms

Algorithm

intervals

Results

277.0ms

10633×

body

valid