Details

Time bar (total: 2.4m)

sample74.0ms

Algorithm
intervals
Results
35.0ms452×body80valid

simplify65.0ms

Counts
1 → 1

prune3.0ms

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))

rewrite238.0ms

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))
169.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
60.0ms
(+ (+ (* x y) (* z t)) (* a b))

series522.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* x y) (* z t))
352.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
100.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify631.0ms

Counts
47 → 47

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.5b
(cbrt (+ (* x y) (* z t)))
1.5b
(cbrt (+ (* x y) (* z t)))
1.5b
(cbrt (+ (* x y) (* z t)))

rewrite107.0ms

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:
65.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
9.0ms
(cbrt (+ (* x y) (* z t)))
20.0ms
(cbrt (+ (* x y) (* z t)))
9.0ms
(cbrt (+ (* x y) (* z t)))

series709.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
200.0ms
(cbrt (+ (* x y) (* z t)))
158.0ms
(cbrt (+ (* x y) (* z t)))
158.0ms
(cbrt (+ (* x y) (* z t)))

simplify1.5s

Counts
99 → 99

prune590.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
0.3b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.0b
(sqrt (+ (* x y) (* z t)))
1.0b
(sqrt (+ (* x y) (* z t)))

rewrite124.0ms

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:
25.0ms
(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
65.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
15.0ms
(sqrt (+ (* x y) (* z t)))
15.0ms
(sqrt (+ (* x y) (* z t)))

series384.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b))
68.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
117.0ms
(sqrt (+ (* x y) (* z t)))
107.0ms
(sqrt (+ (* x y) (* z t)))

simplify866.0ms

Counts
110 → 110

prune389.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* c i) (* c i))
0.3b
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
4.5b
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
34.3b
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite635.0ms

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
9×prod-exp cbrt-unprod
6×flip3-+ flip-+ add-log-exp
5×pow-sqr pow-prod-up difference-of-squares
4×frac-times swap-sqr associate-*r* associate-*l* associate-/l*
3×flip3-- pow-plus associate-/r* flip--
2×pow2 distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
29.0ms
(* (* c i) (* c i))
168.0ms
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
89.0ms
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
340.0ms
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series2.2m

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* c i) (* c i))
477.0ms
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
2.1m
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
1.1s
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.4s

Counts
132 → 132

prune361.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes455.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify50.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
778.0ms13740×body80valid