Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

371×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	2

prune6.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `associate-l` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `fma-def` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

4.0ms	(+ (* x y) z)
9.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series110.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* x y) z)
57.0ms	(+ (* (+ (* x y) z) y) t)
32.0ms	(* (+ (* x y) z) y)

simplify106.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	227	262
1	761	229
2	4508	222
3	5001	222

prune138.0ms

Filtered

59 candidates to 47 candidates (79.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	50	9	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Merged error: 0.0b

Counts

61 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (fma x y z) y) t)
0.1b	(* (fma x y z) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

4.0ms	(+ (* (fma x y z) y) t)
4.0ms	(* (fma x y z) y)

series89.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* (fma x y z) y) t)
39.0ms	(* (fma x y z) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	155	162
1	497	142
2	3196	139
3	5002	138

prune89.0ms

Filtered

40 candidates to 29 candidates (72.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Merged error: 0.0b

Counts

49 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
0.6b	(cbrt (fma x y z))
0.6b	(cbrt (fma x y z))
0.6b	(cbrt (fma x y z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
1.0ms	(cbrt (fma x y z))
1.0ms	(cbrt (fma x y z))
1.0ms	(cbrt (fma x y z))

series429.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
104.0ms	(cbrt (fma x y z))
102.0ms	(cbrt (fma x y z))
103.0ms	(cbrt (fma x y z))

simplify119.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	207	517
1	764	479
2	3807	429
3	5001	425

prune257.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
6.7b	(cbrt (* (fma x y z) y))
6.7b	(cbrt (* (fma x y z) y))
6.7b	(cbrt (* (fma x y z) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
2.0ms	(cbrt (* (fma x y z) y))
2.0ms	(cbrt (* (fma x y z) y))
2.0ms	(cbrt (* (fma x y z) y))

series541.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
127.0ms	(cbrt (* (fma x y z) y))
125.0ms	(cbrt (* (fma x y z) y))
125.0ms	(cbrt (* (fma x y z) y))

simplify127.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	302	547
1	966	490
2	4445	433
3	5001	429

prune217.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	77	11	88

Merged error: 0.0b

Counts

88 → 11

regimes172.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample603.0ms

Algorithm

intervals

Results

326.0ms

11257×

body

valid

Details

sample22.0ms

simplify8.0ms

prune6.0ms

localize6.0ms

rewrite20.0ms

series110.0ms

simplify106.0ms

prune138.0ms

localize6.0ms

rewrite8.0ms

series89.0ms

simplify81.0ms

prune89.0ms

localize10.0ms

rewrite11.0ms

series429.0ms

simplify119.0ms

prune257.0ms

localize10.0ms

rewrite13.0ms

series541.0ms

simplify127.0ms

prune217.0ms

regimes172.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample603.0ms

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