Details

Time bar (total: 14.9s)

sample60.0ms

Algorithm
intervals
Results
22.0ms351×body80valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.1b
(/ (- (* x y) (* z t)) a)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
9.0ms
(- (* x y) (* z t))
28.0ms
(/ (- (* x y) (* z t)) a)

series164.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- (* x y) (* z t))
91.0ms
(/ (- (* x y) (* z t)) a)

simplify2.1s

Counts
48 → 48
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune211.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
4.3b
(/ (* t z) a)
5.4b
(/ (* x y) a)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×times-frac associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp div-inv
3×pow1
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
34.0ms
(- (/ (* x y) a) (/ (* t z) a))
19.0ms
(/ (* t z) a)
21.0ms
(/ (* x y) a)

series141.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(- (/ (* x y) a) (/ (* t z) a))
25.0ms
(/ (* t z) a)
25.0ms
(/ (* x y) a)

simplify3.4s

Counts
68 → 68
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
0111699
1274658
2960594
34705594
done5001594

prune217.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.2b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
4.3b
(/ (* t z) a)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt a)
6.0ms
(cbrt a)
66.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
19.0ms
(/ (* t z) a)

series740.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt a)
333.0ms
(cbrt a)
87.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
38.0ms
(/ (* t z) a)

simplify1.7s

Counts
114 → 114
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01811334
15001275
22069957
done5000869

prune432.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* t z))
6.2b
(* (/ 1 a) (- (* x y) (* t z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×sub-neg flip3-- associate-*r* flip-- unswap-sqr
2×distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp cbrt-unprod
1×cbrt-undiv rec-exp diff-log 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 55
Calls
2 calls:
21.0ms
(- (* x y) (* t z))
41.0ms
(* (/ 1 a) (- (* x y) (* t z)))

series199.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- (* x y) (* t z))
126.0ms
(* (/ 1 a) (- (* x y) (* t z)))

simplify3.0s

Counts
61 → 61
Iterations

Useful iterations: 2 (219.0ms)

IterNodesCost
0104886
1281795
2886689
32886689
done5000689

prune136.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes670.0ms

Accuracy

88.9% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.6b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02767
13650
done3650

end0.0ms

sample1.5s

Algorithm
intervals
Results
662.0ms11101×body80valid