Details

Time bar (total: 13.5s)

sample22.0ms

Algorithm
intervals
Results
10.0ms299×body80valid

simplify65.0ms

Counts
1 → 1
Iterations
IterNodes
done86
586
479
352
224
111
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize16.0ms

Local error

Found 1 expressions with local error:

4.1b
(* x (- 1.0 (* y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
prod-diff
distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
sub-neg associate-*r/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
30.0ms
(* x (- 1.0 (* y z)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(* x (- 1.0 (* y z)))

simplify1.6s

Counts
36 → 36
Iterations
IterNodes
done5000
31711
2489
1159
071

prune135.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 1 expressions with local error:

4.1b
(* (- 1.0 (* y z)) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
associate-*l/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
18.0ms
(* (- 1.0 (* y z)) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (- 1.0 (* y z)) x)

simplify1.4s

Counts
26 → 26
Iterations
IterNodes
done5002
31505
2398
1122
050

prune126.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.3b
(cbrt (- 1.0 (* y z)))
4.3b
(cbrt (- 1.0 (* y z)))
4.3b
(cbrt (- 1.0 (* y z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
cbrt-prod add-sqr-sqrt pow1 flip3-- add-exp-log flip--
*-un-lft-identity add-cube-cbrt
add-cbrt-cube
expm1-log1p-u frac-times insert-posit16 log1p-expm1-u add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*l/
associate-*r* *-commutative unswap-sqr
Counts
4 → 78
Calls
4 calls:
49.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))

series920.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
292.0ms
(cbrt (- 1.0 (* y z)))
283.0ms
(cbrt (- 1.0 (* y z)))
239.0ms
(cbrt (- 1.0 (* y z)))

simplify2.1s

Counts
90 → 90
Iterations
IterNodes
done5011
33708
2995
1354
0141

prune603.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* y z))) x))
4.3b
(cbrt (- 1.0 (* y z)))
4.3b
(cbrt (- 1.0 (* y z)))
4.3b
(cbrt (- 1.0 (* y z)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*l/
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
10×add-cbrt-cube
cbrt-prod
pow-prod-down prod-exp associate-*r/ cbrt-unprod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 99
Calls
4 calls:
91.0ms
(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* y z))) x))
10.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (- 1.0 (* y z))) x))
365.0ms
(cbrt (- 1.0 (* y z)))
318.0ms
(cbrt (- 1.0 (* y z)))
320.0ms
(cbrt (- 1.0 (* y z)))

simplify3.4s

Counts
111 → 111
Iterations
IterNodes
done5000
34459
21302
1477
0167

prune606.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.0b

regimes362.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample730.0ms

Algorithm
intervals
Results
439.0ms9612×body80valid