Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	valid
7.0ms	274×	body	80	nan

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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

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

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)

rewrite19.0ms

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:

12.0ms	(- 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)

series134.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
44.0ms	(- (fma (log y) (+ y 0.5) z) y)
38.0ms	(fma (log y) (+ y 0.5) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

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

prune203.0ms

Filtered

97 candidates to 61 candidates (62.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
17×	`add-log-exp`
11×	`associate-+r+`
6×	`pow1` `associate-*r/`
5×	`add-exp-log` `diff-log` `add-cbrt-cube`
4×	`flip3-+` `associate-r` `associate-l` `frac-add` `sum-log` `flip-+`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`distribute-rgt-in` `associate-+r-` `sub-neg` `associate-+l+` `distribute-lft-in`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `associate--r+` `distribute-lft-out--` `associate--r-` `difference-of-squares` `unswap-sqr`

Counts

3 → 91

Calls

3 calls:

10.0ms	(- x (+ (* (log y) (+ y 0.5)) (- z y)))
10.0ms	(+ (* (log y) (+ y 0.5)) (- z y))
6.0ms	(* (log y) (+ y 0.5))

series338.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- x (+ (* (log y) (+ y 0.5)) (- z y)))
48.0ms	(+ (* (log y) (+ y 0.5)) (- z y))
236.0ms	(* (log y) (+ y 0.5))

simplify85.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	664	1000
1	3136	717
2	5002	715

prune253.0ms

Filtered

100 candidates to 74 candidates (74.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (+ (* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) (- z y)))
0.1b	(+ (* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) (- z y))
0.4b	(* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
0.4b	(* (log y) (sqrt (+ y 0.5)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-div`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`associate-*r/`
22×	`add-cube-cbrt`
20×	`flip3-+` `flip-+`
18×	`prod-diff` `add-log-exp`
16×	`frac-add`
14×	`associate-r`
12×	`pow1` `frac-times`
11×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
9×	`flip3--` `sqrt-prod` `flip--`
6×	`associate-*l/`
5×	`diff-log` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg`
2×	`associate-+r-` `sub-neg` `*-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `fma-def` `log-pow` `associate--r+` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

20.0ms	(- x (+ (* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) (- z y)))
17.0ms	(+ (* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) (- z y))
13.0ms	(* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
8.0ms	(* (log y) (sqrt (+ y 0.5)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- x (+ (* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) (- z y)))
48.0ms	(+ (* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) (- z y))
245.0ms	(* (* (log y) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
63.0ms	(* (log y) (sqrt (+ y 0.5)))

simplify45.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1110	2189
1	5002	1565

prune378.0ms

Filtered

147 candidates to 102 candidates (69.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	146	7	153

Merged error: 0.0b

Counts

153 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

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))
14.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))

series3.5s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
295.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
291.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.6s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))

simplify138.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	953	2708
1	4661	2609
2	5001	2609

prune456.0ms

Filtered

121 candidates to 96 candidates (79.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	121	7	128

Merged error: 0.0b

Counts

128 → 7

regimes271.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample805.0ms

Algorithm

intervals

Results

274.0ms	8032×	body	80	valid
204.0ms	7931×	body	80	nan
0.0ms	1×	body	160	valid