Details

Time bar (total: 25.3s)

sample248.0ms

Algorithm
intervals
Results
84.0ms122×body320valid
73.0ms244×body80nan
57.0ms128×body160valid
1.0ms6×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
53432
41243
3370
2119
147
019

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 37.7b

localize65.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
9.3b
(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
32.4b
(sqrt (* (- g h) (+ h g)))
32.4b
(sqrt (* (- g h) (+ h g)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
10×frac-times pow1
8×flip3-+ flip-+
6×cbrt-div flip3-- associate-*l/ associate-*r/ flip--
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity sqrt-pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-prod pow1/2 pow1/3 pow-prod-down sqrt-prod
Counts
4 → 74
Calls
4 calls:
23.0ms
(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
6.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
9.0ms
(sqrt (* (- g h) (+ h g)))
10.0ms
(sqrt (* (- g h) (+ h g)))

series946.0ms

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
447.0ms
(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ h g))))))
89.0ms
(sqrt (* (- g h) (+ h g)))
84.0ms
(sqrt (* (- g h) (+ h g)))

simplify1.5s

Counts
86 → 86
Iterations
IterNodes
done5002
21630
1481
0204

prune747.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 32.8b

localize69.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (sqrt (* (- g h) (+ h g))) g)
7.9b
(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
32.4b
(sqrt (* (- g h) (+ h g)))
32.4b
(sqrt (* (- g h) (+ h g)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
14×add-sqr-sqrt *-un-lft-identity
12×prod-diff add-cube-cbrt
10×pow1
8×frac-times
7×flip3-- flip--
6×flip3-+ sqrt-prod flip-+ add-log-exp
5×associate-*l/
4×expm1-log1p-u sqrt-pow1 add-cbrt-cube fma-neg associate-*r/ add-exp-log insert-posit16 log1p-expm1-u
2×pow1/2 pow-prod-down
1×cbrt-prod cbrt-div sub-neg pow1/3 diff-log distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
30.0ms
(- (sqrt (* (- g h) (+ h g))) g)
18.0ms
(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
15.0ms
(sqrt (* (- g h) (+ h g)))
15.0ms
(sqrt (* (- g h) (+ h g)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (sqrt (* (- g h) (+ h g))) g)
360.0ms
(cbrt (* (/ (- (sqrt (* (- g h) (+ h g))) g) a) 1/2))
91.0ms
(sqrt (* (- g h) (+ h g)))
75.0ms
(sqrt (* (- g h) (+ h g)))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done5001
21333
1470
0202

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 32.2b

localize99.0ms

Local error

Found 4 expressions with local error:

32.4b
(sqrt (* (- g h) (+ h g)))
32.4b
(sqrt (* (- g h) (+ h g)))
32.4b
(sqrt (* (- g h) (+ h g)))
32.4b
(sqrt (* (- g h) (+ h g)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-div
16×frac-times pow1
12×flip3-+ flip3-- flip-+ flip--
8×sqrt-pow1 associate-*l/ associate-*r/
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity add-cbrt-cube pow1/2 pow-prod-down add-exp-log add-cube-cbrt sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 88
Calls
4 calls:
10.0ms
(sqrt (* (- g h) (+ h g)))
17.0ms
(sqrt (* (- g h) (+ h g)))
18.0ms
(sqrt (* (- g h) (+ h g)))
9.0ms
(sqrt (* (- g h) (+ h g)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(sqrt (* (- g h) (+ h g)))
114.0ms
(sqrt (* (- g h) (+ h g)))
114.0ms
(sqrt (* (- g h) (+ h g)))
98.0ms
(sqrt (* (- g h) (+ h g)))

simplify2.5s

Counts
100 → 100
Iterations
IterNodes
done5000
33513
2787
1175
070

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 32.2b

localize76.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (sqrt (* (- g h) (+ h g))) g)
7.9b
(cbrt (/ (- (sqrt (* (- g h) (+ h g))) g) a))
32.4b
(sqrt (* (- g h) (+ h g)))
32.4b
(sqrt (* (- g h) (+ h g)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
19×cbrt-prod
16×sqrt-div
15×times-frac
12×prod-diff
10×pow1
8×frac-times
7×flip3-- flip--
6×flip3-+ sqrt-prod flip-+ add-log-exp
4×expm1-log1p-u sqrt-pow1 add-cbrt-cube fma-neg associate-*l/ associate-*r/ add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
2×pow1/2 pow-prod-down
1×cbrt-div sub-neg pow1/3 diff-log div-inv
Counts
4 → 108
Calls
4 calls:
17.0ms
(- (sqrt (* (- g h) (+ h g))) g)
12.0ms
(cbrt (/ (- (sqrt (* (- g h) (+ h g))) g) a))
20.0ms
(sqrt (* (- g h) (+ h g)))
10.0ms
(sqrt (* (- g h) (+ h g)))

series633.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (sqrt (* (- g h) (+ h g))) g)
350.0ms
(cbrt (/ (- (sqrt (* (- g h) (+ h g))) g) a))
87.0ms
(sqrt (* (- g h) (+ h g)))
87.0ms
(sqrt (* (- g h) (+ h g)))

simplify1.8s

Counts
120 → 120
Iterations
IterNodes
done5000
21423
1531
0243

prune999.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 32.2b

regimes742.0ms

Accuracy

0% (1.8b remaining)

Error of 31.6b against oracle of 29.8b and baseline of 31.6b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done34
134
025

end0.0ms

sample7.4s

Algorithm
intervals
Results
2.9s3745×body320valid
2.0s8042×body80nan
2.0s4109×body160valid
26.0ms146×body80valid