Details

Time bar (total: 19.1s)

sample68.0ms

Algorithm
intervals
Results
13.0ms25×body1280valid
13.0ms209×body80valid
10.0ms30×body640valid
6.0ms25×body320valid
4.0ms86×body80nan
2.0ms13×body160valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01013
11813
22711
35211
411011
524911
659011
7185511
done500011

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b
(/ y (+ z y))
7.5b
(pow (/ y (+ z y)) y)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×times-frac
22×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
add-exp-log distribute-lft-out
add-cbrt-cube add-log-exp
pow1 associate-/r* associate-/r/
expm1-log1p-u pow-unpow fma-def flip3-+ flip-+ log1p-expm1-u associate-/l*
div-exp pow-exp div-inv
cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg clear-num sum-log sqr-pow
Counts
3 → 87
Calls
3 calls:
66.0ms
(+ x (/ (pow (/ y (+ z y)) y) y))
11.0ms
(/ y (+ z y))
16.0ms
(pow (/ y (+ z y)) y)

series500.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ x (/ (pow (/ y (+ z y)) y) y))
69.0ms
(/ y (+ z y))
342.0ms
(pow (/ y (+ z y)) y)

simplify2.0s

Counts
96 → 96
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01641143
14051072
210381017
330161012
done50001011

prune277.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
2.9b
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
17×add-exp-log
15×*-un-lft-identity
13×unpow-prod-down
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
associate-/r/
pow1 pow-exp
expm1-log1p-u frac-times div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
pow-unpow pow1/3 distribute-lft-out
associate-*r/ associate-*l/
pow-to-exp pow-pow times-frac div-inv sqr-pow
Counts
4 → 81
Calls
4 calls:
5.0ms
(cbrt (+ z y))
4.0ms
(cbrt (+ z y))
4.0ms
(cbrt (+ z y))
47.0ms
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.1s

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (+ z y))
210.0ms
(cbrt (+ z y))
250.0ms
(cbrt (+ z y))
410.0ms
(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.9s

Counts
93 → 93
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01691447
14101341
29681212
329231187
done50011184

prune609.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
cbrt-div
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
flip3-+ flip-+ distribute-lft-out
Counts
4 → 61
Calls
4 calls:
2.0ms
(cbrt y)
8.0ms
(cbrt (+ z y))
8.0ms
(cbrt (+ z y))
9.0ms
(cbrt (+ z y))

series990.0ms

Counts
4 → 12
Calls
4 calls:
339.0ms
(cbrt y)
195.0ms
(cbrt (+ z y))
218.0ms
(cbrt (+ z y))
237.0ms
(cbrt (+ z y))

simplify3.0s

Counts
73 → 73
Iterations

Useful iterations: done (3.0s)

IterNodesCost
077584
1159547
2342517
3770502
42099502
done5000496

prune508.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (exp (- z)) y))
0.0b
(/ (exp (- z)) y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
times-frac
add-cbrt-cube add-log-exp
add-exp-log fma-def associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u associate-/l/
cbrt-undiv +-commutative neg-sub0 exp-neg frac-2neg flip3-+ exp-diff div-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
2 → 48
Calls
2 calls:
14.0ms
(+ x (/ (exp (- z)) y))
22.0ms
(/ (exp (- z)) y)

series68.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (/ (exp (- z)) y))
39.0ms
(/ (exp (- z)) y)

simplify2.1s

Counts
54 → 54
Iterations

Useful iterations: done (2.1s)

IterNodesCost
089496
1187468
2479439
31240437
done5000436

prune187.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
11533
done1533

end0.0ms

sample3.4s

Algorithm
intervals
Results
791.0ms926×body640valid
717.0ms812×body1280valid
648.0ms6503×body80valid
325.0ms2954×body80nan
175.0ms603×body320valid
84.0ms301×body160valid