Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.1b	(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:

6.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series112.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ y (- z a))
82.0ms	(fma (/ y (- z a)) (- z t) x)

simplify120.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (115.0ms)

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

prune174.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
2.1b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

6.0ms	(/ 1 (- z a))
12.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series166.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ 1 (- z a))
29.0ms	(* y (/ 1 (- z a)))
86.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify93.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	288	498
1	1139	430
2	4201	384
3	5002	382

prune251.0ms

Filtered

108 candidates to 65 candidates (60.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y (- z a)) (- z t) x))
2.1b	(fma (/ y (- z a)) (- z t) x)
2.1b	(fma (/ y (- z a)) (- z t) x)
2.1b	(fma (/ y (- z a)) (- z t) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series494.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (fma (/ y (- z a)) (- z t) x))
81.0ms	(fma (/ y (- z a)) (- z t) x)
81.0ms	(fma (/ y (- z a)) (- z t) x)
81.0ms	(fma (/ y (- z a)) (- z t) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (70.0ms)

Iter	Nodes	Cost
0	82	333
1	161	295
2	453	293
3	1792	290
4	5003	287

prune206.0ms

Filtered

55 candidates to 50 candidates (90.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Merged error: 0.0b

Counts

61 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.5b	(/ (* y (- z t)) (- z a))

rewrite22.0ms

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:

8.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) (- z a))

series107.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* y (- z t))
70.0ms	(/ (* y (- z t)) (- z a))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (14.0ms)

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

prune168.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	1	3
Picked	1	0	1
Done	1	1	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

regimes119.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample543.0ms

Algorithm

intervals

Results

279.0ms	8783×	body	80	valid
0.0ms	1×	body	160	valid