Details

Time bar (total: 11.1s)

sample27.0ms

Algorithm
intervals
Results
11.0ms333×body80valid

simplify16.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
17.0ms
(+ (* x y) (* z t))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(+ (* x y) (* z t))

simplify2.0s

Counts
14 → 14

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.3b
(pow (+ (* x y) (* z t)) 3)
34.1b
(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-+ flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 59
Calls
3 calls:
13.0ms
(+ (* x y) (* z t))
11.0ms
(pow (+ (* x y) (* z t)) 3)
10.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

series268.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (* x y) (* z t))
181.0ms
(pow (+ (* x y) (* z t)) 3)
38.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

simplify622.0ms

Counts
68 → 68

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t))) 3)
1.5b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
26.7b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))
34.1b
(cbrt (pow (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t))) 3))

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×cbrt-prod
36×unpow-prod-down cube-prod
17×difference-of-squares
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×flip3-- flip--
6×add-log-exp
5×pow1 div-inv
4×associate-/l*
3×pow-unpow associate-/r*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp sub-neg cbrt-div pow-pow frac-2neg pow1/3 diff-log div-sub clear-num rem-cbrt-cube
Counts
4 → 157
Calls
4 calls:
61.0ms
(pow (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t))) 3)
43.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
99.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))
77.0ms
(cbrt (pow (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t))) 3))

series663.0ms

Counts
4 → 12
Calls
4 calls:
302.0ms
(pow (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t))) 3)
135.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
121.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))
105.0ms
(cbrt (pow (/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t))) 3))

simplify2.2s

Counts
169 → 169

prune392.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
2.0b
(* (* z t) (- (* z t) (* x y)))
2.0b
(+ (pow (* x y) 3) (pow (* z t) 3))
36.0b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
37.0ms
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
37.0ms
(* (* z t) (- (* z t) (* x y)))
14.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
98.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
73.0ms
(* (* z t) (- (* z t) (* x y)))
288.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
159.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify1.6s

Counts
103 → 103

prune401.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify14.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
666.0ms10453×body80valid