Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

359×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

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: 1.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.6b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series82.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
47.0ms	(* (- y x) (/ z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune125.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
1.7b	(* (cbrt (- y x)) (/ z t))
4.2b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
11.0ms	(* (cbrt (- y x)) (/ z t))
24.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (- y x))
150.0ms	(cbrt (- y x))
210.0ms	(* (cbrt (- y x)) (/ z t))
43.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	806	2054
1	2665	1859
2	5001	1806

prune367.0ms

Filtered

164 candidates to 99 candidates (60.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	164	10	174

Merged error: 0b

Counts

174 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
6.4b	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
16.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series635.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt z)
187.0ms	(cbrt z)
183.0ms	(cbrt z)
84.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify67.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	430	694
1	2345	534
2	5003	495

prune239.0ms

Filtered

96 candidates to 73 candidates (76.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	96	10	106

Merged error: 0b

Counts

106 → 10

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
8.5b	(/ (* (- y x) z) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

5.0ms	(+ x (/ (* (- y x) z) t))
7.0ms	(* (- y x) z)
7.0ms	(/ (* (- y x) z) t)

series111.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ (* (- y x) z) t))
33.0ms	(* (- y x) z)
43.0ms	(/ (* (- y x) z) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune109.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	4	2	6
Picked	0	1	1
Done	1	2	3
Total	69	7	76

Merged error: 0b

Counts

76 → 7

regimes201.0ms

Accuracy

32.4% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample595.0ms

Algorithm

intervals

Results

326.0ms

10676×

body

valid