Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

359×

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:

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

series113.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* (+ (* x y) z) y) t)
21.0ms	(+ (* x y) z)
36.0ms	(* (+ (* x y) z) y)

simplify110.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	227	262
1	761	229
2	4508	222
3	5001	221

prune134.0ms

Filtered

59 candidates to 48 candidates (81.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (fma x y z) (cbrt y)) (cbrt y)) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 65

Calls

4 calls:

8.0ms	(* (* (* (fma x y z) (cbrt y)) (cbrt y)) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series589.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* (* (fma x y z) (cbrt y)) (cbrt y)) (cbrt y))
183.0ms	(cbrt y)
177.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify34.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	173	370
1	863	307
2	5001	270

prune213.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 95

Calls

4 calls:

11.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))

series452.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
107.0ms	(cbrt (+ (* x y) z))
106.0ms	(cbrt (+ (* x y) z))
110.0ms	(cbrt (+ (* x y) z))

simplify143.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	279	866
1	997	814
2	4643	745
3	5001	745

prune315.0ms

Filtered

107 candidates to 86 candidates (80.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) z)
0.1b	(* (fma x y z) (- (* x y) z))
5.9b	(* y (* (fma x y z) (- (* x y) z)))
17.3b	(/ (* y (* (fma x y z) (- (* x y) z))) (- (* x y) z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
21×	`prod-diff`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`associate-*r/`
7×	`sub-neg` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-2neg` `fma-neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

4.0ms	(- (* x y) z)
7.0ms	(* (fma x y z) (- (* x y) z))
8.0ms	(* y (* (fma x y z) (- (* x y) z)))
13.0ms	(/ (* y (* (fma x y z) (- (* x y) z))) (- (* x y) z))

series211.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* x y) z)
73.0ms	(* (fma x y z) (- (* x y) z))
84.0ms	(* y (* (fma x y z) (- (* x y) z)))
30.0ms	(/ (* y (* (fma x y z) (- (* x y) z))) (- (* x y) z))

simplify95.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	476	1097
1	2994	805
2	5001	780

prune448.0ms

Filtered

133 candidates to 76 candidates (57.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	133	5	138

Merged error: 0.0b

Counts

138 → 5

regimes142.0ms

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	12	4
1	12	4

end0.0ms

sample559.0ms

Algorithm

intervals

Results

280.0ms

11262×

body

valid