Details

Time bar (total: 8.0s)

sample54.0ms

Algorithm
intervals
Results
20.0ms500×body80valid

simplify198.0ms

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: 6.0b

localize15.0ms

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)
6.2b
(* (* (+ a (* b c)) c) i)

rewrite100.0ms

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:
8.0ms
(+ (* x y) (* z t))
45.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
16.0ms
(* (+ a (* b c)) c)
30.0ms
(* (* (+ a (* b c)) c) i)

series770.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (* x y) (* z t))
612.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
48.0ms
(* (+ a (* b c)) c)
66.0ms
(* (* (+ a (* b c)) c) i)

simplify63.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0436655
12076599
25003591

prune261.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

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)))
6.1b
(* (+ a (* b c)) (* c i))

rewrite82.0ms

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:
8.0ms
(+ (* x y) (* z t))
47.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
25.0ms
(* (+ a (* b c)) (* c i))

series734.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x y) (* z t))
630.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
68.0ms
(* (+ a (* b c)) (* c i))

simplify56.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0397546
11767506
25001498

prune200.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ a (* b c)))
1.0b
(cbrt (+ a (* b c)))
2.4b
(* (cbrt (+ a (* b c))) (* c i))
3.4b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite138.0ms

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:
3.0ms
(cbrt (+ a (* b c)))
3.0ms
(cbrt (+ a (* b c)))
26.0ms
(* (cbrt (+ a (* b c))) (* c i))
100.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series639.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (+ a (* b c)))
116.0ms
(cbrt (+ a (* b c)))
332.0ms
(* (cbrt (+ a (* b c))) (* c i))
71.0ms
(* (* (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 (49.0ms)

IterNodesCost
05631624
118691383
250021267

prune397.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
12.1b
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))
12.1b
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))
12.1b
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
294×cbrt-div
128×associate-*l/
112×frac-times
108×flip3-+ flip-+
32×associate-*r/
25×pow1 add-exp-log
15×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 159
Calls
4 calls:
99.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
83.0ms
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))
81.0ms
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))
85.0ms
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))

series509.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
147.0ms
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))
144.0ms
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))
154.0ms
(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))

simplify81.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05954498
119434201
250013976

prune657.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.3b

regimes1.1s

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
648.0ms15194×body80valid