Details

Time bar (total: 27.1s)

sample101.0ms

Algorithm
intervals
Results
38.0ms285×body80valid
32.0ms289×body80nan

simplify4.3s

Counts
1 → 1
Iterations
IterNodes
done5000
104510
92947
81717
71207
6890
5546
4246
3112
257
126
011

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (- z (log z)))
0.0b
(- z (log z))
0.2b
(* (- 1.0 (- z (log z))) y)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
45×add-sqr-sqrt
42×prod-diff
31×add-cube-cbrt
18×distribute-lft-out--
17×pow1 associate--r+
12×log-pow
add-log-exp
associate-*l*
fma-neg difference-of-squares
add-cbrt-cube add-exp-log
diff-log
expm1-log1p-u log-prod sub-neg flip3-- associate-*r* insert-posit16 log1p-expm1-u flip--
associate-*l/
pow-prod-down prod-exp *-commutative cbrt-unprod associate--r- unswap-sqr
Counts
3 → 119
Calls
3 calls:
18.0ms
(- 1.0 (- z (log z)))
9.0ms
(- z (log z))
61.0ms
(* (- 1.0 (- z (log z))) y)

series604.0ms

Counts
3 → 9
Calls
3 calls:
280.0ms
(- 1.0 (- z (log z)))
224.0ms
(- z (log z))
100.0ms
(* (- 1.0 (- z (log z))) y)

simplify2.4s

Counts
128 → 128
Iterations
IterNodes
done5000
33290
21082
1438
0185

prune603.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
0.2b
(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
25×add-sqr-sqrt
19×add-cube-cbrt
15×prod-diff
11×pow1
cbrt-prod
log-pow
associate-*l* distribute-lft-out--
log-prod add-cbrt-cube add-exp-log associate--r+
pow1/3 add-log-exp
expm1-log1p-u insert-posit16 log1p-expm1-u
fma-neg associate-*r*
flip3-- associate-*l/ flip-- difference-of-squares
sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 98
Calls
4 calls:
7.0ms
(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
83.0ms
(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.8s

Counts
4 → 12
Calls
4 calls:
942.0ms
(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
274.0ms
(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
301.0ms
(cbrt z)
299.0ms
(cbrt z)

simplify2.8s

Counts
110 → 110
Iterations
IterNodes
done5000
33822
21022
1373
0169

prune802.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt z)
248.0ms
(cbrt z)
308.0ms
(cbrt z)
278.0ms
(cbrt z)

simplify4.6s

Counts
68 → 68
Iterations
IterNodes
done5003
64890
51189
4406
3186
297
147
027

prune645.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.0b
(pow z 1/3)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-unpow unpow-prod-down pow1/3
pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(pow z 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt z)
273.0ms
(cbrt z)
292.0ms
(cbrt z)
229.0ms
(pow z 1/3)

simplify2.3s

Counts
75 → 75
Iterations
IterNodes
done5002
53498
41270
3601
2280
1130
059

prune748.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes284.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s9206×body80valid
921.0ms9187×body80nan