Details

Time bar (total: 9.0s)

sample52.0ms

Algorithm
intervals
Results
25.0ms515×body80valid

simplify193.0ms

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: 6.7b

localize14.0ms

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)

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:
7.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
3.0ms
(+ (* x y) (* z t))
5.0ms
(* (+ a (* b c)) c)
7.0ms
(* (* (+ a (* b c)) c) i)

series758.0ms

Counts
4 → 12
Calls
4 calls:
600.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
40.0ms
(+ (* x y) (* z t))
49.0ms
(* (+ a (* b c)) c)
68.0ms
(* (* (+ a (* b c)) c) i)

simplify70.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0436655
12076599
25003591

prune303.0ms

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))

rewrite21.0ms

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:
3.0ms
(+ a (* b c))
7.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
3.0ms
(+ (* x y) (* z t))
6.0ms
(* (+ a (* b c)) (* c i))

series755.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ a (* b c))
619.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
39.0ms
(+ (* x y) (* z t))
70.0ms
(* (+ a (* b c)) (* c i))

simplify59.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0404600
11775555
25003547

prune286.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

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)))

rewrite34.0ms

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))
18.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series653.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (+ a (* b c)))
118.0ms
(cbrt (+ a (* b c)))
349.0ms
(* (cbrt (+ a (* b c))) (* c i))
68.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

simplify66.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05631624
118691383
250021267

prune636.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.5b

localize24.0ms

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))))

rewrite115.0ms

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)))
18.0ms
(* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i)))
32.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i))))

series640.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (+ a (* b c)))
113.0ms
(cbrt (+ a (* b c)))
343.0ms
(* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i)))
68.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c))))) (* (cbrt (cbrt (+ a (* b c)))) (* c i))))

simplify156.0ms

Algorithm
egg-herbie
Counts
362 → 362
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0210815377
1500115069

prune1.7s

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

sample1.4s

Algorithm
intervals
Results
729.0ms15136×body80valid