Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	257×	body	80	valid
10.0ms	296×	body	80	nan

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune6.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
12×	`associate--r+`
10×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--r-`

Counts

3 → 88

Calls

3 calls:

8.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
4.0ms	(- (fma (log y) (+ y 0.5) z) y)
1.0ms	(fma (log y) (+ y 0.5) z)

series135.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
45.0ms	(- (fma (log y) (+ y 0.5) z) y)
42.0ms	(fma (log y) (+ y 0.5) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	404	1160
1	1496	822
2	5003	746

prune197.0ms

Filtered

97 candidates to 61 candidates (62.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
0.6b	(cbrt (fma (log y) (+ y 0.5) z))
0.6b	(cbrt (fma (log y) (+ y 0.5) z))
0.6b	(cbrt (fma (log y) (+ y 0.5) z))

rewrite12.0ms

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:

6.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))

series1.6s

Counts

4 → 12

Calls

4 calls:

840.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
253.0ms	(cbrt (fma (log y) (+ y 0.5) z))
255.0ms	(cbrt (fma (log y) (+ y 0.5) z))
260.0ms	(cbrt (fma (log y) (+ y 0.5) z))

simplify77.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	604	1568
1	2821	1497
2	5001	1446

prune310.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.6s

Counts

4 → 12

Calls

4 calls:

2.7s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
298.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
289.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
291.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify113.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	953	2708
1	4653	2609
2	5001	2606

prune425.0ms

Filtered

121 candidates to 96 candidates (79.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	120	10	130

Merged error: 0.0b

Counts

130 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log y) (+ y 0.5) z))
0.6b	(cbrt (fma (log y) (+ y 0.5) z))
0.6b	(cbrt (fma (log y) (+ y 0.5) z))
0.6b	(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
37×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `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`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
7.0ms	(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))

series1.6s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt (fma (log y) (+ y 0.5) z))
264.0ms	(cbrt (fma (log y) (+ y 0.5) z))
276.0ms	(cbrt (fma (log y) (+ y 0.5) z))
833.0ms	(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	632	1938
1	2864	1859
2	5002	1762

prune394.0ms

Filtered

107 candidates to 81 candidates (75.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	107	10	117

Merged error: 0.0b

Counts

117 → 10

regimes125.0ms

Accuracy

0% (0.1b 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	10	5
1	10	5

end0.0ms

sample987.0ms

Algorithm

intervals

Results

359.0ms	8033×	body	80	valid
280.0ms	7724×	body	80	nan
0.0ms	1×	body	1280	valid

Details

sample39.0ms

simplify76.0ms

prune6.0ms

localize9.0ms

rewrite15.0ms

series135.0ms

simplify56.0ms

prune197.0ms

localize14.0ms

rewrite12.0ms

series1.6s

simplify77.0ms

prune310.0ms

localize13.0ms

rewrite22.0ms

series3.6s

simplify113.0ms

prune425.0ms

localize18.0ms

rewrite14.0ms

series1.6s

simplify75.0ms

prune394.0ms

regimes125.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample987.0ms

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