Details

Time bar (total: 20.7s)

sample59.0ms

Algorithm
intervals
Results
20.0ms289×body80valid
17.0ms312×body80nan

simplify3.4s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (- z (log z)))
0.0b
(- z (log z))
0.0b
(fma x 0.5 (* (- 1.0 (- z (log z))) y))
0.1b
(* (- 1.0 (- z (log z))) y)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
46×add-sqr-sqrt
42×prod-diff
32×add-cube-cbrt
18×pow1 distribute-lft-out--
17×associate--r+
12×log-pow
9×add-log-exp
7×associate-*l*
6×add-cbrt-cube fma-neg add-exp-log difference-of-squares
4×expm1-log1p-u diff-log insert-posit16 log1p-expm1-u
3×log-prod sub-neg flip3-- associate-*r* flip--
2×associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef associate--r- unswap-sqr
Counts
4 → 130
Calls
4 calls:
23.0ms
(- 1.0 (- z (log z)))
8.0ms
(- z (log z))
0.0ms
(fma x 0.5 (* (- 1.0 (- z (log z))) y))
96.0ms
(* (- 1.0 (- z (log z))) y)

series678.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(- 1.0 (- z (log z)))
239.0ms
(- z (log z))
80.0ms
(fma x 0.5 (* (- 1.0 (- z (log z))) y))
103.0ms
(* (- 1.0 (- z (log z))) y)

simplify2.0s

Counts
142 → 142
Iterations
IterNodes
done5000
33695
21229
1488
0206

prune586.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (- (- z (log (sqrt z))) (log (sqrt z))))
0.0b
(fma x 0.5 (* (- 1.0 (- (- z (log (sqrt z))) (log (sqrt z)))) y))
0.0b
(- (- z (log (sqrt z))) (log (sqrt z)))
0.1b
(* (- 1.0 (- (- z (log (sqrt z))) (log (sqrt z)))) y)

rewrite575.0ms

Algorithm
rewrite-expression-head
Rules
186×*-un-lft-identity
138×prod-diff
105×add-sqr-sqrt
100×distribute-lft-out--
97×log-pow
85×pow1
65×add-cube-cbrt
64×associate--r+
40×associate--l+
19×difference-of-squares
18×sqrt-pow1 pow1/2
12×add-log-exp
11×associate-*l*
9×fma-neg diff-log
6×log-prod add-cbrt-cube add-exp-log
5×sub-neg
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×flip3-- associate-*r* sqrt-prod flip--
2×associate-*l/
1×associate--l- pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef associate--r- unswap-sqr
Counts
4 → 251
Calls
4 calls:
144.0ms
(- 1.0 (- (- z (log (sqrt z))) (log (sqrt z))))
0.0ms
(fma x 0.5 (* (- 1.0 (- (- z (log (sqrt z))) (log (sqrt z)))) y))
95.0ms
(- (- z (log (sqrt z))) (log (sqrt z)))
321.0ms
(* (- 1.0 (- (- z (log (sqrt z))) (log (sqrt z)))) y)

series470.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- 1.0 (- (- z (log (sqrt z))) (log (sqrt z))))
121.0ms
(fma x 0.5 (* (- 1.0 (- (- z (log (sqrt z))) (log (sqrt z)))) y))
80.0ms
(- (- z (log (sqrt z))) (log (sqrt z)))
189.0ms
(* (- 1.0 (- (- z (log (sqrt z))) (log (sqrt z)))) y)

simplify1.4s

Counts
263 → 263
Iterations
IterNodes
done5004
21803
1779
0312

prune936.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- z (fma 2 (log (cbrt (sqrt z))) (log (sqrt z)))) (log (cbrt (sqrt z))))
0.2b
(fma 2 (log (cbrt (sqrt z))) (log (sqrt z)))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
42×add-sqr-sqrt
34×prod-diff
28×add-cube-cbrt
18×cbrt-prod
12×log-pow distribute-lft-out--
11×pow1 associate--l+
9×log-prod sqrt-prod associate--r+
7×pow1/3 add-log-exp difference-of-squares
5×fma-neg
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×diff-log
2×sub-neg
1×associate--l- flip3-- fma-udef flip--
Counts
4 → 117
Calls
4 calls:
50.0ms
(- (- z (fma 2 (log (cbrt (sqrt z))) (log (sqrt z)))) (log (cbrt (sqrt z))))
0.0ms
(fma 2 (log (cbrt (sqrt z))) (log (sqrt z)))
3.0ms
(cbrt (sqrt z))
8.0ms
(cbrt (sqrt z))

series851.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(- (- z (fma 2 (log (cbrt (sqrt z))) (log (sqrt z)))) (log (cbrt (sqrt z))))
195.0ms
(fma 2 (log (cbrt (sqrt z))) (log (sqrt z)))
206.0ms
(cbrt (sqrt z))
230.0ms
(cbrt (sqrt z))

simplify2.3s

Counts
129 → 129
Iterations
IterNodes
done5000
34261
21179
1457
0192

prune977.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×sqrt-prod
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt (sqrt z))
1.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (cbrt (sqrt z)))
2.0ms
(cbrt (cbrt (sqrt z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (sqrt z))
565.0ms
(cbrt (sqrt z))
264.0ms
(cbrt (cbrt (sqrt z)))
257.0ms
(cbrt (cbrt (sqrt z)))

simplify1.8s

Counts
86 → 86
Iterations
IterNodes
done5001
31244
2352
1147
074

prune799.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
019

end0.0ms

sample2.0s

Algorithm
intervals
Results
823.0ms9192×body80valid
714.0ms9386×body80nan