Details

Time bar (total: 10.3s)

sample52.0ms

Algorithm
intervals
Results
21.0ms373×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11811
22511
32711
done2711

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
52.0ms
(+ (+ (* x y) (* z t)) (* a b))
14.0ms
(+ (* x y) (* z t))

series146.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(+ (+ (* x y) (* z t)) (* a b))
47.0ms
(+ (* x y) (* z t))

simplify904.0ms

Counts
30 → 30
Iterations

Useful iterations: done (902.0ms)

IterNodesCost
057421
1190395
2926373
done5000369

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b))
0.0b
(+ (* t z) (* x y))
0.3b
(pow (+ (* t z) (* x y)) 3)
32.8b
(cbrt (pow (+ (* t z) (* x y)) 3))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-log-exp
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sum-log sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 70
Calls
4 calls:
76.0ms
(+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b))
9.0ms
(+ (* t z) (* x y))
17.0ms
(pow (+ (* t z) (* x y)) 3)
18.0ms
(cbrt (pow (+ (* t z) (* x y)) 3))

series330.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b))
50.0ms
(+ (* t z) (* x y))
143.0ms
(pow (+ (* t z) (* x y)) 3)
71.0ms
(cbrt (pow (+ (* t z) (* x y)) 3))

simplify2.5s

Counts
82 → 82
Iterations

Useful iterations: 2 (395.0ms)

IterNodesCost
01171384
14101136
225231022
done50021022

prune425.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* t z) (* x y))
0.1b
(sqrt (+ (+ (* t z) (* x y)) (* a b)))
0.1b
(sqrt (+ (+ (* t z) (* x y)) (* a b)))
0.3b
(* (sqrt (+ (+ (* t z) (* x y)) (* a b))) (sqrt (+ (+ (* t z) (* x y)) (* a b))))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
9.0ms
(+ (* t z) (* x y))
47.0ms
(sqrt (+ (+ (* t z) (* x y)) (* a b)))
42.0ms
(sqrt (+ (+ (* t z) (* x y)) (* a b)))
193.0ms
(* (sqrt (+ (+ (* t z) (* x y)) (* a b))) (sqrt (+ (+ (* t z) (* x y)) (* a b))))

series1.4s

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (* t z) (* x y))
798.0ms
(sqrt (+ (+ (* t z) (* x y)) (* a b)))
444.0ms
(sqrt (+ (+ (* t z) (* x y)) (* a b)))
66.0ms
(* (sqrt (+ (+ (* t z) (* x y)) (* a b))) (sqrt (+ (+ (* t z) (* x y)) (* a b))))

simplify1.0s

Counts
110 → 110
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01332914
13662123
219601967
done50011916

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes652.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11611
done1611

end0.0ms

sample1.7s

Algorithm
intervals
Results
718.0ms12070×body80valid