Details

Time bar (total: 13.5s)

sample59.0ms

Algorithm
intervals
Results
22.0ms379×body80valid

simplify28.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
2 → 24
Calls
2 calls:
47.0ms
(+ (+ (* x y) (* z t)) (* a b))
13.0ms
(+ (* x y) (* z t))

series137.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(+ (+ (* x y) (* z t)) (* a b))
53.0ms
(+ (* x y) (* z t))

simplify1.4s

Counts
30 → 30

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.6b
(cbrt (+ (* x y) (* z t)))
1.6b
(cbrt (+ (* x y) (* z t)))
1.6b
(cbrt (+ (* x y) (* z t)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
68.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
10.0ms
(cbrt (+ (* x y) (* z t)))
5.0ms
(cbrt (+ (* x y) (* z t)))
5.0ms
(cbrt (+ (* x y) (* z t)))

series669.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
159.0ms
(cbrt (+ (* x y) (* z t)))
168.0ms
(cbrt (+ (* x y) (* z t)))
146.0ms
(cbrt (+ (* x y) (* z t)))

simplify1.6s

Counts
99 → 99

prune499.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* a b) (* a b))
0.3b
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
3.5b
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
28.0b
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×pow-prod-down
17×add-cube-cbrt *-un-lft-identity
12×times-frac
prod-exp cbrt-unprod
flip3-+ flip-+ add-log-exp
pow-sqr pow-prod-up difference-of-squares
frac-times swap-sqr associate-*r* associate-*l* associate-/l*
flip3-- pow-plus associate-/r* flip--
pow2 distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+ associate-/r/ *-commutative associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
58.0ms
(* (* a b) (* a b))
50.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
43.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
167.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series1.2s

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (* a b) (* a b))
84.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
740.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
344.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify2.0s

Counts
132 → 132

prune386.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- (+ (* x y) (* z t)) (* a b)) (cbrt (- (+ (* x y) (* z t)) (* a b))))
0.7b
(cbrt (- (+ (* x y) (* z t)) (* a b)))
0.7b
(cbrt (- (+ (* x y) (* z t)) (* a b)))
0.7b
(cbrt (- (+ (* x y) (* z t)) (* a b)))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
cbrt-div
add-exp-log associate-/r*
pow1 flip3-- add-cbrt-cube flip--
pow1/3 add-log-exp
associate-/l*
associate-/r/ associate-/l/
cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv pow-div
Counts
4 → 84
Calls
4 calls:
157.0ms
(/ (- (+ (* x y) (* z t)) (* a b)) (cbrt (- (+ (* x y) (* z t)) (* a b))))
27.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
21.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
27.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))

series1.2s

Counts
4 → 12
Calls
4 calls:
411.0ms
(/ (- (+ (* x y) (* z t)) (* a b)) (cbrt (- (+ (* x y) (* z t)) (* a b))))
246.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
252.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
242.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))

simplify607.0ms

Counts
96 → 96

prune588.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes397.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify37.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
765.0ms12020×body80valid