Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

281×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune8.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.5b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series121.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ y (- z a))
89.0ms	(fma (/ y (- z a)) (- z t) x)

simplify110.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (105.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244

prune140.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Merged error: 0.0b

Counts

57 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
3.5b	(fma (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ y (cbrt (- z a)))) (- z t) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
1.0ms	(fma (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ y (cbrt (- z a)))) (- z t) x)

series589.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (- z a))
160.0ms	(cbrt (- z a))
166.0ms	(cbrt (- z a))
95.0ms	(fma (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ y (cbrt (- z a)))) (- z t) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	194	515
1	469	474
2	1751	458
3	5001	434

prune259.0ms

Filtered

73 candidates to 66 candidates (90.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.9b	(/ (* y (- z t)) (- z a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

7.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) (- z a))

series114.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- z t))
76.0ms	(/ (* y (- z t)) (- z a))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	350	543
1	1606	380
2	5001	380

prune129.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
1.7b	(/ y (/ (- z a) (- z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

9.0ms	(/ (- z a) (- z t))
12.0ms	(/ y (/ (- z a) (- z t)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- z a) (- z t))
120.0ms	(/ y (/ (- z a) (- z t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	639	1797
1	2867	1744
2	5001	1741

prune417.0ms

Filtered

204 candidates to 136 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	204	3	207

Merged error: 0b

Counts

207 → 3

regimes99.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample591.0ms

Algorithm

intervals

Results

329.0ms	8745×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid