Details

Time bar (total: 23.1s)

sample42.0ms

Algorithm
intervals
Results
26.0ms317×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
63330
5863
4261
380
238
116
08

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize9.0ms

Local error

Found 1 expressions with local error:

4.4b
(* (/ y z) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
*-un-lft-identity add-cube-cbrt
add-cbrt-cube add-exp-log
pow1 associate-*r*
prod-exp cbrt-unprod unswap-sqr
expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
10.0ms
(* (/ y z) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (/ y z) x)

simplify2.0s

Counts
38 → 38
Iterations
IterNodes
43730
31137
2408
1160
071

prune427.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.3b
(* (/ y (cbrt z)) x)
3.7b
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
rec-exp 1-exp
expm1-log1p-u associate-*r* pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
unswap-sqr
pow1/3 *-commutative div-inv
frac-times associate-*r/
Counts
4 → 127
Calls
4 calls:
2.0ms
(cbrt z)
1.0ms
(cbrt z)
23.0ms
(* (/ y (cbrt z)) x)
103.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

series748.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt z)
239.0ms
(cbrt z)
170.0ms
(* (/ y (cbrt z)) x)
97.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

simplify3.7s

Counts
139 → 139
Iterations
IterNodes
37495
21498
1463
0180

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (/ y z) x)
12.1b
(cbrt (* (/ y z) x))
12.1b
(cbrt (* (/ y z) x))
12.1b
(cbrt (* (/ y z) x))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
add-cbrt-cube add-exp-log
pow1
expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 74
Calls
4 calls:
20.0ms
(* (/ y z) x)
9.0ms
(cbrt (* (/ y z) x))
9.0ms
(cbrt (* (/ y z) x))
9.0ms
(cbrt (* (/ y z) x))

series470.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ y z) x)
139.0ms
(cbrt (* (/ y z) x))
165.0ms
(cbrt (* (/ y z) x))
129.0ms
(cbrt (* (/ y z) x))

simplify3.3s

Counts
86 → 86
Iterations
IterNodes
45662
31832
2617
1232
0108

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

6.6b
(/ (* x y) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
17.0ms
(/ (* x y) z)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (* x y) z)

simplify5.3s

Counts
27 → 27
Iterations
IterNodes
45915
31500
2371
1116
051

prune247.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes256.0ms

Accuracy

71% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 6.2b

bsearch2.0ms

simplify7.0ms

Iterations
IterNodes
227
127
022

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s9664×body80valid