Details

Time bar (total: 9.0s)

sample53.0ms

Algorithm
intervals
Results
25.0ms491×body80valid

simplify195.0ms

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: 7.6b

localize15.0ms

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)
9.7b
(* (* (+ a (* b c)) c) i)

rewrite44.0ms

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:
2.0ms
(+ a (* b c))
21.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
8.0ms
(* (+ a (* b c)) c)
12.0ms
(* (* (+ a (* b c)) c) i)

series733.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ a (* b c))
597.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
50.0ms
(* (+ a (* b c)) c)
60.0ms
(* (* (+ a (* b c)) c) i)

simplify64.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0431642
11992581
25002573

prune271.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

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)))
5.4b
(* (+ a (* b c)) (* c i))

rewrite34.0ms

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
(+ (* x y) (* z t))
2.0ms
(+ a (* b c))
17.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
10.0ms
(* (+ a (* b c)) (* c i))

series712.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x y) (* z t))
24.0ms
(+ a (* b c))
591.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
65.0ms
(* (+ a (* b c)) (* c i))

simplify61.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0404600
11775555
25003547

prune248.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

1.1b
(cbrt (+ a (* b c)))
1.1b
(cbrt (+ a (* b c)))
1.1b
(cbrt (+ a (* b c)))
5.4b
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
40×associate-*l/
30×flip3-+ flip-+
28×frac-times
25×pow1 add-exp-log
17×add-cbrt-cube
15×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 93
Calls
4 calls:
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
107.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

series405.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (+ a (* b c)))
111.0ms
(cbrt (+ a (* b c)))
115.0ms
(cbrt (+ a (* b c)))
68.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05381334
117841070
25002986

prune445.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

1.1b
(cbrt (+ a (* b c)))
1.1b
(cbrt (+ a (* b c)))
1.1b
(cbrt (+ a (* b c)))
5.4b
(* (* (* (* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite464.0ms

Algorithm
rewrite-expression-head
Rules
1194×cbrt-div
568×frac-times
526×associate-*l/
408×flip3-+ flip-+
80×associate-*r/
36×pow1 add-exp-log
24×pow-prod-down prod-exp cbrt-unprod
22×add-cbrt-cube
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 315
Calls
4 calls:
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
400.0ms
(* (* (* (* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

series410.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (+ a (* b c)))
114.0ms
(cbrt (+ a (* b c)))
121.0ms
(cbrt (+ a (* b c)))
63.0ms
(* (* (* (* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (cbrt (cbrt (+ a (* b c))))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify121.0ms

Algorithm
egg-herbie
Counts
327 → 327
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
026839027
150028710

prune2.0s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.5b

regimes930.0ms

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample1.6s

Algorithm
intervals
Results
916.0ms15220×body80valid