Details

sample25.0ms

Algorithm

intervals

Results

12.0ms	278×	body	80	valid
0.0ms	1×	body	1280	valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.5b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.5b	(fma y (/ (- z t) (- z a)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

9.0ms	(/ (- z t) (- z a))
1.0ms	(fma y (/ (- z t) (- z a)) x)

series123.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- z a))
77.0ms	(fma y (/ (- z t) (- z a)) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	260	433
1	705	410
2	2411	410
3	5001	410

prune196.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	8	71

Merged error: 1.0b

Counts

71 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.5b	(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `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 → 105

Calls

3 calls:

6.0ms	(/ 1 (- z a))
17.0ms	(* (- z t) (/ 1 (- z a)))
1.0ms	(fma y (* (- z t) (/ 1 (- z a))) x)

series162.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- z a))
46.0ms	(* (- z t) (/ 1 (- z a)))
80.0ms	(fma y (* (- z t) (/ 1 (- z a))) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	337	585
1	1465	510
2	5001	468

prune214.0ms

Filtered

114 candidates to 68 candidates (59.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Merged error: 1.0b

Counts

122 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
2.9b	(cbrt (/ (- z t) (- z a)))
2.9b	(cbrt (/ (- z t) (- z a)))
2.9b	(cbrt (/ (- z t) (- z a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

1.0ms	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
8.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
145.0ms	(cbrt (/ (- z t) (- z a)))
138.0ms	(cbrt (/ (- z t) (- z a)))
142.0ms	(cbrt (/ (- z t) (- z a)))

simplify100.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 4 (81.0ms)

Iter	Nodes	Cost
0	238	1445
1	439	1387
2	961	1374
3	2460	1348
4	5001	1339

prune451.0ms

Filtered

148 candidates to 106 candidates (71.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	150	6	156

Merged error: 0.0b

Counts

156 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

12.1b

(/ (* y (- z t)) (- z a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

10.0ms

(/ (* y (- z t)) (- z a))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(/ (* y (- z t)) (- z a))

simplify105.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	210	187
1	845	160
2	4101	160
3	5002	160

prune73.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	33	7	40

Merged error: 0b

Counts

40 → 7

regimes206.0ms

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	9	4

end0.0ms

sample585.0ms

Algorithm

intervals

Results

322.0ms	8729×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample25.0ms

simplify85.0ms

prune7.0ms

localize9.0ms

rewrite12.0ms

series123.0ms

simplify64.0ms

prune196.0ms

localize10.0ms

rewrite28.0ms

series162.0ms

simplify51.0ms

prune214.0ms

localize12.0ms

rewrite29.0ms

series500.0ms

simplify100.0ms

prune451.0ms

localize9.0ms

rewrite12.0ms

series72.0ms

simplify105.0ms

prune73.0ms

regimes206.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample585.0ms

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