Details

sample51.0ms

Algorithm

intervals

Results

24.0ms

503×

body

valid

simplify217.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	9
1	77	9
2	230	9
3	735	9
4	1920	9
5	2994	9
6	3388	9
7	4078	9
8	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
9.2b	(* (* (+ a (* b c)) c) i)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

19.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms	(+ (* x y) (* z t))
8.0ms	(* (+ a (* b c)) c)
13.0ms	(* (* (+ a (* b c)) c) i)

series739.0ms

Counts

4 → 12

Calls

4 calls:

598.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
32.0ms	(+ (* x y) (* z t))
48.0ms	(* (+ a (* b c)) c)
61.0ms	(* (* (+ a (* b c)) c) i)

simplify73.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	436	655
1	2076	599
2	5003	591

prune289.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b	(+ (* x y) (* z t))
4.5b	(* (+ a (* b c)) (* c i))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`frac-sub`
3×	`associate-l` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`+-commutative` `diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

4 → 60

Calls

4 calls:

2.0ms	(+ a (* b c))
19.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
3.0ms	(+ (* x y) (* z t))
11.0ms	(* (+ a (* b c)) (* c i))

series728.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ a (* b c))
603.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
32.0ms	(+ (* x y) (* z t))
62.0ms	(* (+ a (* b c)) (* c i))

simplify53.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	404	600
1	1775	555
2	5003	547

prune257.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
2.9b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
49.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (+ a (* b c)))
118.0ms	(cbrt (+ a (* b c)))
113.0ms	(cbrt (+ a (* b c)))
67.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify55.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	515	1576
1	1753	1342
2	5001	1225

prune435.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i))))
1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`associate-*l/`
18×	`pow1` `add-exp-log`
14×	`associate-*r/`
12×	`cbrt-prod`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `*-commutative`

Counts

4 → 92

Calls

4 calls:

88.0ms	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i))))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* (cbrt (+ a (* b c))) (* c i))))
150.0ms	(cbrt (+ a (* b c)))
109.0ms	(cbrt (+ a (* b c)))
104.0ms	(cbrt (+ a (* b c)))

simplify57.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	469	1506
1	1559	1372
2	5001	1247

prune436.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.0b

regimes752.0ms

Accuracy

0% (0.9b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

686.0ms

15160×

body

valid