Details

Time bar (total: 3.9s)

sample32.0ms

Algorithm
intervals
Results
11.0ms356×body80valid

simplify13.0ms

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 (* a (+ t (* z b))))
0.0b
(+ t (* z b))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
2.5b
(* a (+ t (* z b)))

rewrite68.0ms

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
(+ x (* a (+ t (* z b))))
5.0ms
(+ t (* z b))
27.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
28.0ms
(* a (+ t (* z b)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ x (* a (+ t (* z b))))
22.0ms
(+ t (* z b))
77.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
51.0ms
(* a (+ t (* z b)))

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25001363

prune164.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))
6.5b
(* (* a z) b)

rewrite125.0ms

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:
22.0ms
(+ (+ x (* y z)) (* t a))
5.0ms
(+ x (* y z))
80.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
16.0ms
(* (* a z) b)

series158.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (+ x (* y z)) (* t a))
21.0ms
(+ x (* y z))
71.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms
(* (* a z) b)

simplify49.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0335378
11670347
25002342

prune163.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* y z) (+ x (* a (+ t (* z b)))))) (cbrt (+ (* y z) (+ x (* a (+ t (* z b)))))))
2.5b
(* a (+ t (* z b)))
2.5b
(* a (+ t (* z b)))
2.5b
(* a (+ t (* z b)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
17×pow1
16×cbrt-prod
15×associate-*r* associate-*l*
12×add-exp-log cbrt-div
10×add-cbrt-cube
9×flip3-+ flip-+
8×associate-*r/
7×unswap-sqr
6×pow1/3 swap-sqr
5×pow-prod-down
4×frac-times prod-exp *-commutative cbrt-unprod add-log-exp
3×distribute-rgt-in distribute-lft-in
2×associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 114
Calls
4 calls:
91.0ms
(* (cbrt (+ (* y z) (+ x (* a (+ t (* z b)))))) (cbrt (+ (* y z) (+ x (* a (+ t (* z b)))))))
15.0ms
(* a (+ t (* z b)))
18.0ms
(* a (+ t (* z b)))
15.0ms
(* a (+ t (* z b)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (+ (* y z) (+ x (* a (+ t (* z b)))))) (cbrt (+ (* y z) (+ x (* a (+ t (* z b)))))))
48.0ms
(* a (+ t (* z b)))
54.0ms
(* a (+ t (* z b)))
49.0ms
(* a (+ t (* z b)))

simplify56.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04061351
116701243
250011156

prune340.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y z) (+ x (* a (cbrt (pow (+ t (* z b)) 3)))))
0.2b
(pow (+ t (* z b)) 3)
2.5b
(* a (cbrt (pow (+ t (* z b)) 3)))
32.8b
(cbrt (pow (+ t (* z b)) 3))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
24×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity associate-*r*
10×unpow-prod-down cube-prod
9×add-log-exp
7×pow1 add-exp-log
6×cube-div add-cbrt-cube
5×unswap-sqr
4×cbrt-div flip3-+ flip-+ sqr-pow
3×cube-mult pow-unpow unpow3 associate-*l* sum-log
2×associate-*r/
1×+-commutative pow-to-exp associate-+r+ pow-pow pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 97
Calls
4 calls:
14.0ms
(+ (* y z) (+ x (* a (cbrt (pow (+ t (* z b)) 3)))))
9.0ms
(pow (+ t (* z b)) 3)
30.0ms
(* a (cbrt (pow (+ t (* z b)) 3)))
6.0ms
(cbrt (pow (+ t (* z b)) 3))

series225.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (* y z) (+ x (* a (cbrt (pow (+ t (* z b)) 3)))))
76.0ms
(pow (+ t (* z b)) 3)
51.0ms
(* a (cbrt (pow (+ t (* z b)) 3)))
23.0ms
(cbrt (pow (+ t (* z b)) 3))

simplify64.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0405677
11916615
25001604

prune235.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

73.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.8b

bsearch128.0ms

Steps
ItersRangePoint
8
1.0005906059176746e+245
2.901893708033184e+247
2.6476237708605972e+247
10
4.199934233506477e-84
2.5771152362429428e-73
1.0272372269898438e-78
6
-6.868604545256837e+109
-1.1837664229511681e+109
-2.034026435353058e+109

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
04226
14513
24813
34813

end0.0ms

sample934.0ms

Algorithm
intervals
Results
391.0ms11687×body80valid