Details

sample75.0ms

Algorithm

intervals

Results

49.0ms

469×

body

valid

simplify196.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
8.7b	(* (* (+ a (* b c)) c) i)

rewrite40.0ms

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:

2.0ms	(+ a (* b c))
17.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
7.0ms	(* (+ a (* b c)) c)
11.0ms	(* (* (+ a (* b c)) c) i)

series723.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ a (* b c))
590.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
47.0ms	(* (+ a (* b c)) c)
61.0ms	(* (* (+ a (* b c)) c) i)

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	431	642
1	1992	581
2	5002	573

prune328.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
5.2b	(* (+ a (* b c)) (* c i))

rewrite33.0ms

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	(+ (* x y) (* z t))
2.0ms	(+ a (* b c))
17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
10.0ms	(* (+ a (* b c)) (* c i))

series727.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* z t))
25.0ms	(+ a (* b c))
606.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
64.0ms	(* (+ a (* b c)) (* c i))

simplify60.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (48.0ms)

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

prune263.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (cbrt (+ a (* b c))) (* c i))
2.8b	(cbrt (+ a (* b c)))
2.8b	(cbrt (+ a (* b c)))
2.8b	(cbrt (+ a (* b c)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
7×	`add-cbrt-cube`
6×	`associate-l`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 62

Calls

4 calls:

11.0ms	(* (cbrt (+ a (* b c))) (* c i))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (cbrt (+ a (* b c))) (* c i))
110.0ms	(cbrt (+ a (* b c)))
106.0ms	(cbrt (+ a (* b c)))
112.0ms	(cbrt (+ a (* b c)))

simplify74.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	282	532
1	820	493
2	2934	466
3	5002	434

prune362.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.9b

localize20.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (+ a (* b c)) (* c i))
10.5b	(cbrt (* (+ a (* b c)) (* c i)))
10.5b	(cbrt (* (+ a (* b c)) (* c i)))
10.5b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

12.0ms	(* (+ a (* b c)) (* c i))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ a (* b c)) (* c i))
130.0ms	(cbrt (* (+ a (* b c)) (* c i)))
134.0ms	(cbrt (* (+ a (* b c)) (* c i)))
132.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify36.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	321	576
1	1103	516
2	5001	500

prune296.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 1.9b

regimes964.0ms

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.9b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.5s

15152×

body

valid