Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

342×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 4.0b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.2b	(/ y (* z 3.0))
7.5b	(/ t (* (* z 3.0) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

12.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
5.0ms	(* (* z 3.0) y)
4.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

series140.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
19.0ms	(* (* z 3.0) y)
18.0ms	(/ y (* z 3.0))
28.0ms	(/ t (* (* z 3.0) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	405	532
1	2039	469
2	5001	469

prune185.0ms

Filtered

93 candidates to 62 candidates (66.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	10	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize8.0ms

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))
0.3b	(/ t (* z 3.0))
5.1b	(/ (/ t (* z 3.0)) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`div-inv`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`associate-+l+` `frac-add` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 109

Calls

4 calls:

14.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series143.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
18.0ms	(/ y (* z 3.0))
18.0ms	(/ t (* z 3.0))
31.0ms	(/ (/ t (* z 3.0)) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	482	721
1	1906	657
2	5002	657

prune238.0ms

Filtered

121 candidates to 88 candidates (72.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	117	4	121
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	122	9	131

Merged error: 0.0b

Counts

131 → 9

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)
0.3b	(/ t (* z 3.0))
5.1b	(/ (/ t (* z 3.0)) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
69×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
11×	`div-inv`
10×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
7×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`associate-+l+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 158

Calls

4 calls:

27.0ms	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
6.0ms	(/ (/ y z) 3.0)
4.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series141.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
23.0ms	(/ (/ y z) 3.0)
18.0ms	(/ t (* z 3.0))
28.0ms	(/ (/ t (* z 3.0)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	728	1085
1	2934	1019
2	5001	1019

prune364.0ms

Filtered

170 candidates to 131 candidates (77.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	171	8	179

Merged error: 0b

Counts

179 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
0.3b	(/ t (* z 3.0))
0.3b	(/ (/ y z) (cbrt 3.0))
5.1b	(/ (/ t (* z 3.0)) y)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

340×	`times-frac`
213×	`add-sqr-sqrt`
175×	`*-un-lft-identity`
170×	`add-cube-cbrt`
101×	`add-exp-log`
87×	`cbrt-prod`
82×	`associate-r`
45×	`add-cbrt-cube`
43×	`div-exp`
32×	`prod-exp`
25×	`cbrt-undiv`
23×	`associate-/l*`
22×	`div-inv`
15×	`unswap-sqr`
14×	`cbrt-unprod`
10×	`associate-/r*`
7×	`associate-l`
6×	`pow1` `rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 327

Calls

4 calls:

31.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
4.0ms	(/ t (* z 3.0))
7.0ms	(/ (/ y z) (cbrt 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series212.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
18.0ms	(/ t (* z 3.0))
71.0ms	(/ (/ y z) (cbrt 3.0))
29.0ms	(/ (/ t (* z 3.0)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1430	3082
1	5002	2817

prune911.0ms

Filtered

339 candidates to 261 candidates (77.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	339	0	339
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	339	8	347

Merged error: 0b

Counts

347 → 8

regimes192.0ms

Accuracy

75.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.8b

bsearch80.0ms

Steps

Iters	Range		Point
8	9.834305041564427e+35	4.339606160116765e+38	3.777444822295902e+36
9	-1.0681652460252232e-08	-1.5055701132127545e-15	-7.000164786129335e-10

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample730.0ms

Algorithm

intervals

Results

454.0ms

11109×

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