Details

sample48.0ms

Algorithm

intervals

Results

23.0ms

497×

body

valid

simplify184.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize17.0ms

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)
6.7b	(* (* (+ a (* b c)) c) i)

rewrite22.0ms

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:

3.0ms	(+ a (* b c))
6.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms	(* (+ a (* b c)) c)
6.0ms	(* (* (+ a (* b c)) c) i)

series711.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ a (* b c))
577.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
48.0ms	(* (+ a (* b c)) c)
60.0ms	(* (* (+ a (* b c)) c) i)

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (54.0ms)

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

prune281.0ms

Filtered

81 candidates to 58 candidates (71.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize13.0ms

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)))
4.8b	(* (+ a (* b c)) (* c i))

rewrite21.0ms

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:

3.0ms	(+ (* x y) (* z t))
3.0ms	(+ a (* b c))
7.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0ms	(* (+ a (* b c)) (* c i))

series721.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* x y) (* z t))
25.0ms	(+ a (* b c))
592.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
63.0ms	(* (+ a (* b c)) (* c i))

simplify59.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (51.0ms)

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

prune267.0ms

Filtered

72 candidates to 52 candidates (72.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
4.8b	(* (+ a (* b c)) (* c i))
4.8b	(* (+ a (* b c)) (* c i))
4.8b	(* (+ a (* b c)) (* c i))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

6.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
6.0ms	(* (+ a (* b c)) (* c i))
6.0ms	(* (+ a (* b c)) (* c i))
7.0ms	(* (+ a (* b c)) (* c i))

series374.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
64.0ms	(* (+ a (* b c)) (* c i))
59.0ms	(* (+ a (* b c)) (* c i))
65.0ms	(* (+ a (* b c)) (* c i))

simplify61.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	508	833
1	1973	759
2	5001	741

prune372.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
14.5b	(cbrt (* (+ a (* b c)) c))
14.5b	(cbrt (* (+ a (* b c)) c))
14.5b	(cbrt (* (+ a (* b c)) c))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

16.0ms	(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
4.0ms	(cbrt (* (+ a (* b c)) c))
4.0ms	(cbrt (* (+ a (* b c)) c))
4.0ms	(cbrt (* (+ a (* b c)) c))

series508.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
130.0ms	(cbrt (* (+ a (* b c)) c))
133.0ms	(cbrt (* (+ a (* b c)) c))
144.0ms	(cbrt (* (+ a (* b c)) c))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	467	1301
1	1456	1127
2	5002	994

prune411.0ms

Filtered

92 candidates to 67 candidates (72.8%)

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.5b

regimes1.0s

Accuracy

0% (1.0b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

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

729.0ms

14985×

body

valid