Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	275×	body	80	valid
11.0ms	274×	body	80	nan

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	190	7
3	412	7
4	644	7
5	1083	7
6	1628	7
7	2273	7
8	3723	7
9	5001	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.3b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
16.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series140.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
62.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
37.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	594	1130
1	2888	878
2	5001	872

prune229.0ms

Filtered

131 candidates to 75 candidates (57.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	118	13	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	13	132

Merged error: 0.0b

Counts

132 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) y)
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 91

Calls

4 calls:

5.0ms	(* (* 3.0 (sqrt x)) y)
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series143.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* 3.0 (sqrt x)) y)
35.0ms	(* 3.0 (sqrt x))
39.0ms	(* 3.0 (sqrt x))
15.0ms	(/ 1.0 (* x 9.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	366	440
1	1571	379
2	5001	366

prune198.0ms

Filtered

103 candidates to 70 candidates (68.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	103	13	116

Merged error: 0.0b

Counts

116 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))
0.4b	(/ 1.0 (* x 9.0))
0.5b	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`sqrt-prod`
23×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
16×	`associate-r`
13×	`associate-l`
12×	`swap-sqr`
8×	`sqrt-pow1` `pow1/2`
6×	`div-inv` `associate-/l*` `unswap-sqr`
5×	`pow-prod-up`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-div` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `rem-square-sqrt`

Counts

4 → 136

Calls

4 calls:

4.0ms	(* 3.0 (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))
4.0ms	(/ 1.0 (* x 9.0))
12.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series123.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))
20.0ms	(/ 1.0 (* x 9.0))
51.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	384	624
1	1873	540
2	5001	527

prune312.0ms

Filtered

148 candidates to 93 candidates (62.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	149	12	161

Merged error: 0.0b

Counts

161 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.4b	(/ (* (sqrt (/ 1.0 (* x 9.0))) (sqrt 1.0)) (sqrt (* x 9.0)))
0.4b	(sqrt (* x 9.0))
0.4b	(/ 1.0 (* x 9.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
7×	`times-frac` `sqrt-prod`
6×	`associate-r`
5×	`associate-/r*`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `sqrt-pow1` `pow-prod-down` `clear-num` `div-inv` `unswap-sqr`
1×	`sqrt-undiv` `pow1/2` `sqrt-unprod` `sqrt-div` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 87

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
10.0ms	(/ (* (sqrt (/ 1.0 (* x 9.0))) (sqrt 1.0)) (sqrt (* x 9.0)))
2.0ms	(sqrt (* x 9.0))
5.0ms	(/ 1.0 (* x 9.0))

series285.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 3.0 (sqrt x))
154.0ms	(/ (* (sqrt (/ 1.0 (* x 9.0))) (sqrt 1.0)) (sqrt (* x 9.0)))
50.0ms	(sqrt (* x 9.0))
18.0ms	(/ 1.0 (* x 9.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	469	565
1	2147	496
2	5001	489

prune255.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	99	12	111

Merged error: 0.0b

Counts

111 → 12

regimes126.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample975.0ms

Algorithm

intervals

Results

352.0ms	8532×	body	80	valid
340.0ms	8577×	body	80	nan

Details

sample37.0ms

simplify121.0ms

prune2.0ms

localize9.0ms

rewrite33.0ms

series140.0ms

simplify77.0ms

prune229.0ms

localize10.0ms

rewrite21.0ms

series143.0ms

simplify42.0ms

prune198.0ms

localize11.0ms

rewrite31.0ms

series123.0ms

simplify58.0ms

prune312.0ms

localize14.0ms

rewrite24.0ms

series285.0ms

simplify55.0ms

prune255.0ms

regimes126.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample975.0ms

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