Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

335×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

prune3.0ms

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: 3.7b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.4b	(* (* z 3.0) y)
6.5b	(/ t (* (* z 3.0) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
15×	`times-frac`
9×	`pow1` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`cbrt-undiv` `fma-def` `div-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

13.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(/ y (* z 3.0))
5.0ms	(* (* z 3.0) y)
6.0ms	(/ t (* (* z 3.0) y))

series178.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
25.0ms	(/ y (* z 3.0))
21.0ms	(* (* z 3.0) y)
32.0ms	(/ t (* (* z 3.0) y))

simplify107.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	500	905
1	2477	746
2	5001	698

prune428.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	115	12	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	12	128

Merged error: 0.0b

Counts

128 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.3b	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`add-sqr-sqrt`
22×	`associate-r`
21×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
18×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt t)
4.0ms	(cbrt t)
1.0ms	(cbrt t)
16.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series651.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt t)
196.0ms	(cbrt t)
198.0ms	(cbrt t)
57.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify100.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	503	876
1	3066	681
2	5001	624

prune388.0ms

Filtered

115 candidates to 84 candidates (73.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	114	13	127

Merged error: 0b

Counts

127 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.3b	(* (/ (* (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-exp-log`
60×	`add-cbrt-cube`
50×	`prod-exp` `cbrt-unprod`
29×	`add-sqr-sqrt`
25×	`cbrt-undiv` `div-exp`
22×	`associate-r`
21×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
6×	`pow1`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 119

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
26.0ms	(* (/ (* (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series709.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt t)
214.0ms	(cbrt t)
215.0ms	(cbrt t)
63.0ms	(* (/ (* (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify150.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	678	1837
1	4481	1226
2	5003	1025

prune457.0ms

Filtered

131 candidates to 83 candidates (63.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	131	13	144

Merged error: 0b

Counts

144 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ y (* z 3.0))
0.2b	(/ t (* z 3.0))
6.9b	(/ (/ t (* z 3.0)) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
45×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
23×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`fma-def` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`frac-add` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 143

Calls

4 calls:

19.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
5.0ms	(/ y (* z 3.0))
5.0ms	(/ t (* z 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series164.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
20.0ms	(/ y (* z 3.0))
21.0ms	(/ t (* z 3.0))
37.0ms	(/ (/ t (* z 3.0)) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	577	1093
1	2337	935
2	5001	887

prune497.0ms

Filtered

155 candidates to 120 candidates (77.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	5	5	10
Picked	0	1	1
Done	1	1	2
Total	157	11	168

Merged error: 0b

Counts

168 → 11

regimes321.0ms

Accuracy

-4.2% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch61.0ms

Steps

Iters	Range		Point
9	3.652646513237563e-42	5.7700411409508134e-33	5.53181617231872e-35

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	15
1	29	15

end0.0ms

sample670.0ms

Algorithm

intervals

Results

383.0ms

11160×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7