Details

Time bar (total: 6.6s)

sample53.0ms

Algorithm
intervals
Results
27.0ms497×body80valid

simplify185.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0329
1779
22309
37359
419209
529949
633889
740789
850019

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.4b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b
(* (+ a (* b c)) c)
9.6b
(* (* (+ a (* b c)) c) i)

rewrite27.0ms

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
(+ (* x y) (* z t))
7.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms
(* (+ a (* b c)) c)
10.0ms
(* (* (+ a (* b c)) c) i)

series722.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x y) (* z t))
583.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
48.0ms
(* (+ a (* b c)) c)
58.0ms
(* (* (+ a (* b c)) c) i)

simplify63.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0436655
12076599
25003591

prune258.0ms

Filtered
81 candidates to 59 candidates (72.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New73881
Fresh000
Picked011
Done000
Total73982

Merged error: 1.0b

Counts
82 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
5.7b
(* (+ a (* b c)) (* c i))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity frac-sub
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log sum-log
1×+-commutative sub-neg flip3-- associate-*r* associate--l+ *-commutative flip--
Counts
3 → 49
Calls
3 calls:
3.0ms
(+ (* x y) (* z t))
6.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0ms
(* (+ a (* b c)) (* c i))

series686.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* x y) (* z t))
591.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
63.0ms
(* (+ a (* b c)) (* c i))

simplify54.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0397546
11767506
25001498

prune366.0ms

Filtered
58 candidates to 40 candidates (69.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New55358
Fresh167
Picked011
Done101
Total571067

Merged error: 1.0b

Counts
67 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

1.5b
(cbrt (+ a (* b c)))
1.5b
(cbrt (+ a (* b c)))
1.8b
(* (cbrt (+ a (* b c))) (* c i))
3.1b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*l/
30×pow1 add-exp-log flip3-+ flip-+
28×frac-times
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/
7×associate-*l*
4×add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
7.0ms
(* (cbrt (+ a (* b c))) (* c i))
17.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (+ a (* b c)))
112.0ms
(cbrt (+ a (* b c)))
313.0ms
(* (cbrt (+ a (* b c))) (* c i))
64.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify62.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05631624
118691383
250021267

prune352.0ms

Filtered
115 candidates to 70 candidates (60.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh088
Picked101
Done011
Total11510125

Merged error: 1.0b

Counts
125 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

5.7b
(* (+ a (* b c)) (* c i))
10.3b
(cbrt (* (+ a (* b c)) (* c i)))
10.3b
(cbrt (* (+ a (* b c)) (* c i)))
10.3b
(cbrt (* (+ a (* b c)) (* c i)))

rewrite23.0ms

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:
7.0ms
(* (+ a (* b c)) (* c i))
5.0ms
(cbrt (* (+ a (* b c)) (* c i)))
5.0ms
(cbrt (* (+ a (* b c)) (* c i)))
5.0ms
(cbrt (* (+ a (* b c)) (* c i)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (+ a (* b c)) (* c i))
133.0ms
(cbrt (* (+ a (* b c)) (* c i)))
135.0ms
(cbrt (* (+ a (* b c)) (* c i)))
136.0ms
(cbrt (* (+ a (* b c)) (* c i)))

simplify37.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0321576
11103516
25001500

prune246.0ms

Filtered
65 candidates to 53 candidates (81.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh088
Picked011
Done011
Total651075

Merged error: 1.0b

Counts
75 → 10

regimes854.0ms

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)

IterNodesCost
0269
1269

end0.0ms

sample1.5s

Algorithm
intervals
Results
853.0ms15147×body80valid