Details

Time bar (total: 15.3s)

sample38.0ms

Algorithm
intervals
Results
21.0ms334×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27711
317411
426411
533111
640311
755111
8114511
9459511
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
18.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
46.0ms
(* (* z z) (+ z 1.0))
29.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series175.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (* z z) (+ z 1.0))
98.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.0s

Counts
61 → 61
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0116898
1349826
21932663
done5000661

prune140.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.8b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.2b
(/ x (* z z))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

series121.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
61.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
25.0ms
(/ x (* z z))

simplify1.6s

Counts
122 → 122
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01861549
14961460
218721271
done50001259

prune403.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.7b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.8b
(* (/ x z) (/ y (+ z 1.0)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
57.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
44.0ms
(* (/ x z) (/ y (+ z 1.0)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
51.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
58.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify2.3s

Counts
164 → 164
Iterations

Useful iterations: 2 (737.0ms)

IterNodesCost
02632480
17272215
226801833
done50001833

prune399.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
103.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series888.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt x)
253.0ms
(cbrt x)
256.0ms
(cbrt x)
104.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify1.5s

Counts
108 → 108
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01651859
14881757
221301130
done5000919

prune287.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample990.0ms

Algorithm
intervals
Results
679.0ms10695×body80valid