Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
6.0ms	226×	body	80	nan

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

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

prune5.0ms

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)

rewrite26.0ms

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:

13.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
7.0ms	(- (fma (log y) (+ y 0.5) z) y)
1.0ms	(fma (log y) (+ y 0.5) z)

series149.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
43.0ms	(- (fma (log y) (+ y 0.5) z) y)
60.0ms	(fma (log y) (+ y 0.5) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

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

prune181.0ms

Filtered

97 candidates to 61 candidates (62.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

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

series1.6s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (fma (log y) (+ y 0.5) z))
252.0ms	(cbrt (fma (log y) (+ y 0.5) z))
253.0ms	(cbrt (fma (log y) (+ y 0.5) z))
814.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	604	1568
1	2829	1497
2	5002	1446

prune305.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize21.0ms

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
38×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
6.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
2.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
4.0ms	(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))

series2.7s

Counts

4 → 12

Calls

4 calls:

813.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
806.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
252.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
820.0ms	(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))

simplify103.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	888	2385
1	4247	2289
2	5001	2288

prune466.0ms

Filtered

123 candidates to 95 candidates (77.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	122	11	133

Merged error: 0b

Counts

133 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
58×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`distribute-lft-out--`
18×	`cbrt-div`
15×	`add-cube-cbrt` `swap-sqr`
11×	`pow1`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
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 → 119

Calls

4 calls:

5.0ms	(cbrt (- x (- (fma (log y) (+ y 0.5) z) y)))
5.0ms	(cbrt (- x (- (fma (log y) (+ y 0.5) z) y)))
5.0ms	(cbrt (- x (- (fma (log y) (+ y 0.5) z) y)))
19.0ms	(* (cbrt (- x (- (fma (log y) (+ y 0.5) z) y))) (cbrt (- x (- (fma (log y) (+ y 0.5) z) y))))

series1.9s

Counts

4 → 12

Calls

4 calls:

414.0ms	(cbrt (- x (- (fma (log y) (+ y 0.5) z) y)))
419.0ms	(cbrt (- x (- (fma (log y) (+ y 0.5) z) y)))
439.0ms	(cbrt (- x (- (fma (log y) (+ y 0.5) z) y)))
590.0ms	(* (cbrt (- x (- (fma (log y) (+ y 0.5) z) y))) (cbrt (- x (- (fma (log y) (+ y 0.5) z) y))))

simplify78.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	561	2089
1	2047	1979
2	5002	1812

prune370.0ms

Filtered

131 candidates to 89 candidates (67.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	131	11	142

Merged error: 0b

Counts

142 → 11

regimes136.0ms

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

sample903.0ms

Algorithm

intervals

Results

300.0ms	8037×	body	80	valid
241.0ms	7934×	body	80	nan
0.0ms	1×	body	1280	valid