Details

Time bar (total: 12.4s)

sample24.0ms

Algorithm
intervals
Results
9.0ms313×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.8b
(/ (* x (- y z)) y)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
25.0ms
(* x (- y z))
27.0ms
(/ (* x (- y z)) y)

series104.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* x (- y z))
61.0ms
(/ (* x (- y z)) y)

simplify2.8s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune139.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.0b
(* x (/ (- y z) y))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
19.0ms
(/ (- y z) y)
41.0ms
(* x (/ (- y z) y))

series119.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- y z) y)
76.0ms
(* x (/ (- y z) y))

simplify2.1s

Counts
86 → 86
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
0115841
1265796
2773731
32613731
done5000731

prune206.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.0b
(/ x (/ y (- y z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
19.0ms
(/ y (- y z))
34.0ms
(/ x (/ y (- y z)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ y (- y z))
78.0ms
(/ x (/ y (- y z)))

simplify1.3s

Counts
149 → 149
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune360.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

13.2b
(* (/ x y) (- y z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 62
Calls
1 calls:
36.0ms
(* (/ x y) (- y z))

series69.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(* (/ x y) (- y z))

simplify3.5s

Counts
65 → 65
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01431043
1352869
2994737
34027679
done5000678

prune98.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes104.0ms

Accuracy

46.1% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01641
11841
done1841

end0.0ms

sample940.0ms

Algorithm
intervals
Results
430.0ms9640×body80valid