Details

Time bar (total: 8.9s)

sample47.0ms

Algorithm
intervals
Results
22.0ms495×body80valid

simplify188.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0329
1779
22309
37359
419209
529949
633889
740789
850019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize16.0ms

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)
9.4b
(* (* (+ a (* b c)) c) i)

rewrite43.0ms

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))
3.0ms
(+ (* x y) (* z t))
8.0ms
(* (+ a (* b c)) c)
12.0ms
(* (* (+ a (* b c)) c) i)

series739.0ms

Counts
4 → 12
Calls
4 calls:
589.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
38.0ms
(+ (* x y) (* z t))
46.0ms
(* (+ a (* b c)) c)
66.0ms
(* (* (+ a (* b c)) c) i)

simplify64.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0436655
12076599
25003591

prune282.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.0b

localize14.0ms

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)))
4.9b
(* (+ a (* b c)) (* c i))

rewrite37.0ms

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:
2.0ms
(+ (* x y) (* z t))
18.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
14.0ms
(* (+ a (* b c)) (* c i))

series866.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* x y) (* z t))
774.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
60.0ms
(* (+ a (* b c)) (* c i))

simplify55.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0397546
11767506
25001498

prune198.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.8b
(cbrt (+ a (* b c)))
1.8b
(cbrt (+ a (* b c)))
1.9b
(* (cbrt (+ a (* b c))) (* c i))
2.0b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite69.0ms

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)))
12.0ms
(* (cbrt (+ a (* b c))) (* c i))
48.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (+ a (* b c)))
106.0ms
(cbrt (+ a (* b c)))
320.0ms
(* (cbrt (+ a (* b c))) (* c i))
60.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify65.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05631624
118691383
250021267

prune410.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.8b
(cbrt (+ a (* b c)))
1.8b
(cbrt (+ a (* b c)))
1.9b
(* (* (* (cbrt (cbrt (+ a (* b c)))) (cbrt (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (* c i))
2.0b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (* (* (cbrt (cbrt (+ a (* b c)))) (cbrt (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (* c i)))

rewrite584.0ms

Algorithm
rewrite-expression-head
Rules
1408×cbrt-div
596×frac-times
462×associate-*l/
434×flip3-+ flip-+
160×associate-*r/
90×pow1 add-exp-log
66×pow-prod-down prod-exp cbrt-unprod
52×add-cbrt-cube
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
2×pow1/3 associate-*r* associate-*l* *-commutative
Counts
4 → 374
Calls
4 calls:
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
125.0ms
(* (* (* (cbrt (cbrt (+ a (* b c)))) (cbrt (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (* c i))
392.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (* (* (cbrt (cbrt (+ a (* b c)))) (cbrt (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (* c i)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (+ a (* b c)))
106.0ms
(cbrt (+ a (* b c)))
316.0ms
(* (* (* (cbrt (cbrt (+ a (* b c)))) (cbrt (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (* c i))
71.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (* (* (cbrt (cbrt (+ a (* b c)))) (cbrt (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (* c i)))

simplify179.0ms

Algorithm
egg-herbie
Counts
386 → 386
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0236216327
1500114966

prune1.2s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 1.0b

regimes1.0s

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.8b 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
797.0ms15237×body80valid