Details

Time bar (total: 10.6s)

sample52.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms294×body80nan

simplify10.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x (log y)) z) y)
0.0b
(- (* x (log y)) z)
0.3b
(* x (log y))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
20×associate--l+
18×log-prod
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×add-log-exp
distribute-rgt-in distribute-lft-in
pow1
add-exp-log add-cbrt-cube
diff-log associate-*r*
sub-neg associate-*l*
flip3-- flip--
associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
66.0ms
(- (- (* x (log y)) z) y)
25.0ms
(- (* x (log y)) z)
12.0ms
(* x (log y))

series161.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (- (* x (log y)) z) y)
72.0ms
(- (* x (log y)) z)
44.0ms
(* x (log y))

simplify48.0ms

Counts
76 → 76

prune530.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
16.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (cbrt y) (cbrt y))
268.0ms
(cbrt y)
285.0ms
(cbrt y)
238.0ms
(cbrt y)

simplify44.0ms

Counts
85 → 85

prune320.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.2b
(pow (/ 1 y) -1/3)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down
11×add-exp-log
times-frac
pow1/3
swap-sqr associate-*r* associate-*l*
pow-exp add-cbrt-cube add-log-exp unswap-sqr
pow-unpow pow-pow
div-exp pow-prod-down pow-sqr pow-prod-up
pow2 pow-to-exp rec-exp pow-flip pow-plus 1-exp prod-exp *-commutative cbrt-unprod div-inv inv-pow sqr-pow
Counts
4 → 94
Calls
4 calls:
17.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(pow (/ 1 y) -1/3)

series1.0s

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt y) (cbrt y))
243.0ms
(cbrt y)
261.0ms
(cbrt y)
243.0ms
(pow (/ 1 y) -1/3)

simplify79.0ms

Counts
106 → 106

prune481.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
3.7b
(pow (/ (cbrt 1) (cbrt y)) -1/3)
4.6b
(pow (/ (cbrt 1) (/ (pow y 2/3) (cbrt 1))) -1/3)
6.1b
(pow y 2/3)

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
564×times-frac
432×unpow-prod-down
303×cbrt-prod
289×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×sqr-pow
19×add-exp-log
pow-unpow pow-exp
div-exp div-inv
pow1
pow-to-exp add-cbrt-cube add-log-exp
pow-pow
pow1/3 associate-/r/
Counts
4 → 382
Calls
4 calls:
1.0ms
(cbrt y)
11.0ms
(pow (/ (cbrt 1) (cbrt y)) -1/3)
62.0ms
(pow (/ (cbrt 1) (/ (pow y 2/3) (cbrt 1))) -1/3)
3.0ms
(pow y 2/3)

series1.3s

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt y)
478.0ms
(pow (/ (cbrt 1) (cbrt y)) -1/3)
395.0ms
(pow (/ (cbrt 1) (/ (pow y 2/3) (cbrt 1))) -1/3)
251.0ms
(pow y 2/3)

simplify85.0ms

Counts
394 → 394

prune3.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify12.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
448.0ms8033×body80valid
343.0ms8150×body80nan
0.0msbody1280valid
0.0msbody320valid
0.0msbody160valid