Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune249.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.0b	(fma (/ (- y z) (- a z)) t 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	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series138.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (- a z))
86.0ms	(fma (/ (- y z) (- a z)) t x)

simplify69.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune207.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- y z) (/ 1 (- a z)))
1.0b	(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite24.0ms

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 (- a z))
14.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series176.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- a z))
51.0ms	(* (- y z) (/ 1 (- a z)))
84.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	333	585
1	1448	510
2	5002	468

prune290.0ms

Filtered

114 candidates to 71 candidates (62.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0.0b

Counts

120 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ (- y z) (- a z)) t x))
1.0b	(fma (/ (- y z) (- a z)) t x)
1.0b	(fma (/ (- y z) (- a z)) t x)
1.0b	(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)

series758.0ms

Counts

4 → 12

Calls

4 calls:

509.0ms	(cbrt (fma (/ (- y z) (- a z)) t x))
79.0ms	(fma (/ (- y z) (- a z)) t x)
85.0ms	(fma (/ (- y z) (- a z)) t x)
85.0ms	(fma (/ (- y z) (- a z)) t x)

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	118	347
1	274	309
2	1031	306
3	5001	303

prune217.0ms

Filtered

55 candidates to 51 candidates (92.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	55	6	61

Merged error: 0.0b

Counts

61 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
9.8b	(/ (* (- y z) t) (- a z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-r` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series190.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (/ (* (- y z) t) (- a z)))
30.0ms	(* (- y z) t)
74.0ms	(/ (* (- y z) t) (- a z))

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	340	395
1	1442	355
2	5001	353

prune239.0ms

Filtered

81 candidates to 64 candidates (79.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	2	0	2
Picked	0	1	1
Done	1	2	3
Total	81	6	87

Merged error: 0b

Counts

87 → 6

regimes209.0ms

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

sample554.0ms

Algorithm

intervals

Results

287.0ms	8781×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid