Details

Time bar (total: 5.0s)

sample33.0ms

Algorithm
intervals
Results
12.0ms381×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
5.1b
(* (* a z) b)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
89.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(+ x (* y z))
22.0ms
(+ (+ x (* y z)) (* t a))
18.0ms
(* (* a z) b)

series165.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
22.0ms
(+ x (* y z))
43.0ms
(+ (+ x (* y z)) (* t a))
23.0ms
(* (* a z) b)

simplify49.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0335378
11670347
25002342

prune190.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
3.1b
(* a (+ t (* z b)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×sum-log
4×flip3-+ flip-+
3×+-commutative associate-+r+ associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
6.0ms
(+ t (* z b))
6.0ms
(+ x (* a (+ t (* z b))))
17.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
19.0ms
(* a (+ t (* z b)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ t (* z b))
91.0ms
(+ x (* a (+ t (* z b))))
77.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
52.0ms
(* a (+ t (* z b)))

simplify45.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0325392
11353363
25001363

prune192.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.6b
(* (cbrt a) (+ t (* z b)))
1.9b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+ unswap-sqr
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
18.0ms
(* (cbrt a) (+ t (* z b)))
47.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

series646.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt a)
174.0ms
(cbrt a)
217.0ms
(* (cbrt a) (+ t (* z b)))
77.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

simplify54.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0334575
11539439
25001392

prune262.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt (cbrt a))
1.5b
(* (cbrt (* (cbrt a) (cbrt a))) (* (cbrt (cbrt a)) (+ t (* z b))))
1.9b
(* (* (cbrt a) (cbrt a)) (* (cbrt (* (cbrt a) (cbrt a))) (* (cbrt (cbrt a)) (+ t (* z b)))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
16×distribute-rgt-in distribute-lft-in
15×add-cbrt-cube
13×cbrt-prod
10×associate-*r/
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×add-log-exp
2×flip3-+ pow1/3 associate-*r* *-commutative flip-+
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt (cbrt a))
34.0ms
(* (cbrt (* (cbrt a) (cbrt a))) (* (cbrt (cbrt a)) (+ t (* z b))))
107.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt (* (cbrt a) (cbrt a))) (* (cbrt (cbrt a)) (+ t (* z b)))))

series754.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt a)
266.0ms
(cbrt (cbrt a))
221.0ms
(* (cbrt (* (cbrt a) (cbrt a))) (* (cbrt (cbrt a)) (+ t (* z b))))
79.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt (* (cbrt a) (cbrt a))) (* (cbrt (cbrt a)) (+ t (* z b)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04581216
11877981
25002950

prune298.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

52% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.0b

bsearch105.0ms

Steps
ItersRangePoint
9
2.3804344030953187e+201
1.387367027131254e+210
2.4152520560821147e+201
8
-3.758755627081158e+101
-1.552657500760424e+97
-1.6253743712669907e+97

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03913
13913

end0.0ms

sample1.1s

Algorithm
intervals
Results
533.0ms11805×body80valid