Details

Time bar (total: 6.8s)

sample49.0ms

Algorithm
intervals
Results
22.0ms485×body80valid

simplify196.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 5.9b

Counts
2 → 1

localize19.0ms

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)
7.4b
(* (* (+ a (* b c)) c) i)

rewrite24.0ms

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

series745.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ a (* b c))
606.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
52.0ms
(* (+ a (* b c)) c)
61.0ms
(* (* (+ a (* b c)) c) i)

simplify75.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0431642
11992581
25002573

prune252.0ms

Filtered
81 candidates to 58 candidates (71.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New74781
Fresh000
Picked011
Done000
Total74882

Merged error: 1.0b

Counts
82 → 8

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ a (* b c))
0.0b
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.6b
(* (+ 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
(+ a (* b c))
7.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
7.0ms
(* (+ a (* b c)) (* c i))

series707.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ a (* b c))
616.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
66.0ms
(* (+ a (* b c)) (* c i))

simplify58.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0392533
11684488
25002480

prune192.0ms

Filtered
58 candidates to 40 candidates (69.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New54458
Fresh066
Picked011
Done101
Total551166

Merged error: 1.0b

Counts
66 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

1.5b
(cbrt (+ a (* b c)))
1.5b
(cbrt (+ a (* b c)))
2.6b
(* (cbrt (+ a (* b c))) (* c i))
3.1b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite35.0ms

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)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (+ a (* b c)))
112.0ms
(cbrt (+ a (* b c)))
326.0ms
(* (cbrt (+ a (* b c))) (* c i))
68.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify71.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05631624
118691383
250021267

prune384.0ms

Filtered
115 candidates to 71 candidates (61.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1141115
Fresh099
Picked011
Done011
Total11412126

Merged error: 1.0b

Counts
126 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt i)
0.6b
(cbrt i)
1.9b
(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
5.7b
(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
10×associate-*l/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×add-log-exp
2×flip3-+ pow1/3 associate-*l* *-commutative flip-+
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt i)
1.0ms
(cbrt i)
14.0ms
(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
11.0ms
(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

series670.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt i)
172.0ms
(cbrt i)
95.0ms
(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
224.0ms
(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

simplify57.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0357737
11780527
25002473

prune249.0ms

Filtered
90 candidates to 60 candidates (66.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh189
Picked101
Done022
Total9111102

Merged error: 1.0b

Counts
102 → 11

regimes797.0ms

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample1.5s

Algorithm
intervals
Results
752.0ms15097×body80valid