Details

Time bar (total: 3.5s)

sample34.0ms

Algorithm
intervals
Results
16.0ms400×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.3b
(* (* a z) b)

rewrite59.0ms

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:
10.0ms
(+ (+ x (* y z)) (* t a))
2.0ms
(+ x (* y z))
39.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

series174.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (+ x (* y z)) (* t a))
23.0ms
(+ x (* y z))
79.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms
(* (* a z) b)

simplify52.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0335378
11670347
25002342

prune176.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
6.3b
(* (* a z) b)
6.3b
(* (* a z) b)
6.3b
(* (* a z) b)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod associate-*l* *-commutative
2×cbrt-div
1×flip3-+ pow1/3 flip-+
Counts
4 → 67
Calls
4 calls:
21.0ms
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
6.0ms
(* (* a z) b)
7.0ms
(* (* a z) b)
6.0ms
(* (* a z) b)

series227.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
25.0ms
(* (* a z) b)
27.0ms
(* (* a z) b)
26.0ms
(* (* a z) b)

simplify38.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0272431
11093383
25002374

prune223.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b
(+ x (* a (+ t (* z b))))
4.2b
(* a (+ t (* z b)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×sum-log
3×associate-+r+ flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 48
Calls
3 calls:
6.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
2.0ms
(+ x (* a (+ t (* z b))))
7.0ms
(* a (+ t (* z b)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
64.0ms
(+ x (* a (+ t (* z b))))
55.0ms
(* a (+ t (* z b)))

simplify49.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0303338
11297314
25001314

prune144.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
4.6b
(cbrt (+ t (* z b)))
4.6b
(cbrt (+ t (* z b)))
4.6b
(cbrt (+ t (* z b)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
19.0ms
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
106.0ms
(cbrt (+ t (* z b)))
106.0ms
(cbrt (+ t (* z b)))
107.0ms
(cbrt (+ t (* z b)))

simplify77.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0319672
1849616
22873583
35002574

prune280.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

86.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.1b

bsearch108.0ms

Steps
ItersRangePoint
10
5.857094359846208e+69
5.277069570127468e+80
2.7483027715298873e+70
9
-1859.823486233865
-4.818869119910193e-06
-628.1513500858254

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03913
13913

end0.0ms

sample816.0ms

Algorithm
intervals
Results
430.0ms11862×body80valid