Details

Time bar (total: 9.2s)

sample50.0ms

Algorithm
intervals
Results
23.0ms515×body80valid

simplify199.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize19.0ms

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)
9.1b
(* (* (+ a (* b c)) c) i)

rewrite41.0ms

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:
18.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
2.0ms
(+ (* x y) (* z t))
7.0ms
(* (+ a (* b c)) c)
12.0ms
(* (* (+ a (* b c)) c) i)

series761.0ms

Counts
4 → 12
Calls
4 calls:
612.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
38.0ms
(+ (* x y) (* z t))
46.0ms
(* (+ a (* b c)) c)
65.0ms
(* (* (+ a (* b c)) c) i)

simplify69.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0436655
12076599
25003591

prune286.0ms

Filtered
81 candidates to 59 candidates (72.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

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))
5.0b
(* (+ a (* b c)) (* c i))

rewrite37.0ms

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))
20.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
2.0ms
(+ (* x y) (* z t))
10.0ms
(* (+ a (* b c)) (* c i))

series733.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ a (* b c))
609.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
38.0ms
(+ (* x y) (* z t))
61.0ms
(* (+ a (* b c)) (* c i))

simplify58.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0404600
11775555
25003547

prune276.0ms

Filtered
72 candidates to 54 candidates (75.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt (+ a (* b c)))
1.3b
(cbrt (+ a (* b c)))
1.8b
(* (cbrt (+ a (* b c))) (* c i))
2.5b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite68.0ms

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)))
11.0ms
(* (cbrt (+ a (* b c))) (* c i))
48.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series636.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (+ a (* b c)))
114.0ms
(cbrt (+ a (* b c)))
344.0ms
(* (cbrt (+ a (* b c))) (* c i))
67.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify60.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05631624
118691383
250021267

prune629.0ms

Filtered
115 candidates to 71 candidates (61.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt (+ a (* b c)))
1.3b
(cbrt (+ a (* b c)))
1.4b
(* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i)))
2.5b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
1288×cbrt-div
596×frac-times
434×flip3-+ flip-+
382×associate-*l/
160×associate-*r/
45×pow1 add-exp-log
30×pow-prod-down prod-exp cbrt-unprod
22×add-cbrt-cube
7×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 350
Calls
4 calls:
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
34.0ms
(* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i)))
123.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i))))

series628.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (+ a (* b c)))
112.0ms
(cbrt (+ a (* b c)))
329.0ms
(* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i)))
69.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i))))

simplify152.0ms

Algorithm
egg-herbie
Counts
362 → 362
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0210815377
1500115069

prune1.7s

Filtered
362 candidates to 199 candidates (55.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.5b

regimes1.1s

Accuracy

13.1% (0.9b remaining)

Error of 1.7b against oracle of 0.9b and baseline of 1.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04433
14433

end0.0ms

sample1.3s

Algorithm
intervals
Results
698.0ms15136×body80valid