Details

Time bar (total: 23.5s)

sample64.0ms

Algorithm
intervals
Results
24.0ms446×body80valid

simplify64.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite431.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
8.0ms
(+ (* x y) (* z t))
364.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
58.0ms
(+ (+ (* x y) (* z t)) (* a b))

series339.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (* x y) (* z t))
231.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
64.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify469.0ms

Counts
47 → 47

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.7b
(cbrt (+ (* x y) (* z t)))
1.7b
(cbrt (+ (* x y) (* z t)))
1.7b
(cbrt (+ (* x y) (* z t)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
61.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
8.0ms
(cbrt (+ (* x y) (* z t)))
7.0ms
(cbrt (+ (* x y) (* z t)))
7.0ms
(cbrt (+ (* x y) (* z t)))

series691.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
167.0ms
(cbrt (+ (* x y) (* z t)))
158.0ms
(cbrt (+ (* x y) (* z t)))
158.0ms
(cbrt (+ (* x y) (* z t)))

simplify1.2s

Counts
99 → 99

prune392.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.3b
(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
37.2b
(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ sum-log flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp associate-+l+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 72
Calls
4 calls:
252.0ms
(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
30.0ms
(+ (+ (* x y) (* z t)) (* a b))
41.0ms
(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
34.0ms
(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

series5.0s

Counts
4 → 12
Calls
4 calls:
274.0ms
(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
77.0ms
(+ (+ (* x y) (* z t)) (* a b))
4.6s
(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
71.0ms
(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

simplify800.0ms

Counts
84 → 84

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t))))
1.6b
(+ (* (* a b) (* a b)) (- (* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t))))))
2.4b
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
38.1b
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (* a b) (* a b)) (- (* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t)))))))

rewrite499.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in frac-times sub-neg associate-+r+ distribute-neg-in distribute-lft-in
3×flip3-- associate-*r* associate-*l* associate-/r* sum-log flip--
2×+-commutative associate-*r/ associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv neg-sub0 associate-+r- frac-2neg div-exp unsub-neg pow-prod-down neg-log prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 101
Calls
4 calls:
95.0ms
(* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t))))
64.0ms
(+ (* (* a b) (* a b)) (- (* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t))))))
83.0ms
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
250.0ms
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (* a b) (* a b)) (- (* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t)))))))

series5.9s

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t))))
912.0ms
(+ (* (* a b) (* a b)) (- (* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t))))))
4.0s
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
678.0ms
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (* a b) (* a b)) (- (* (+ (* t z) (* x y)) (- (* a b) (+ (* x y) (* z t)))))))

simplify2.3s

Counts
113 → 113

prune682.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes646.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify51.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s13819×body80valid