Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

349×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	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: 6.9b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.1b	(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

4.0ms	(- x (/ (* y (- z t)) a))
6.0ms	(* y (- z t))
7.0ms	(/ (* y (- z t)) a)

series131.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- x (/ (* y (- z t)) a))
38.0ms	(* y (- z t))
47.0ms	(/ (* y (- z t)) a)

simplify36.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune161.0ms

Filtered

72 candidates to 47 candidates (65.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0b

Counts

73 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
3.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
18.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series634.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt a)
195.0ms	(cbrt a)
173.0ms	(cbrt a)
89.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	480	918
1	2615	741
2	5001	706

prune295.0ms

Filtered

116 candidates to 88 candidates (75.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	116	8	124

Merged error: 0b

Counts

124 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.5b	(/ y (/ a (- z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 155

Calls

3 calls:

23.0ms	(- x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
8.0ms	(/ y (/ a (- z t)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- x (/ y (/ a (- z t))))
32.0ms	(/ a (- z t))
51.0ms	(/ y (/ a (- z t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	551	1200
1	2371	1160
2	5001	1157

prune407.0ms

Filtered

164 candidates to 122 candidates (74.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	164	8	172

Merged error: 0b

Counts

172 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (/ y a) (- z t)))
5.7b	(* (/ y a) (- z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

3.0ms	(- x (* (/ y a) (- z t)))
8.0ms	(* (/ y a) (- z t))

series99.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- x (* (/ y a) (- z t)))
54.0ms	(* (/ y a) (- z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	316	343
1	1221	313
2	5001	305

prune101.0ms

Filtered

64 candidates to 41 candidates (64.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	64	8	72

Merged error: 0b

Counts

72 → 8

regimes380.0ms

Accuracy

64% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.6b

bsearch77.0ms

Steps

Iters	Range		Point
9	3.6329009112188687e-93	2.61157586936395e-87	4.279694496723418e-88
7	-0.0014803844373699059	-1.428750313589482e-05	-0.001252307508370772

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample635.0ms

Algorithm

intervals

Results

341.0ms

10660×

body

valid