Details

Time bar (total: 16.0s)

sample78.0ms

Algorithm
intervals
Results
35.0ms491×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (133.0ms)

IterNodesCost
01113
12113
25213
317113
434612
558612
669812
780512
8104212
9122512
10122812
done122812

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
6.4b
(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-neg prod-diff
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
2 → 31
Calls
2 calls:
8.0ms
(- t (* z z))
1.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

series219.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- t (* z z))
171.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

simplify2.6s

Counts
37 → 37
Iterations

Useful iterations: 4 (918.0ms)

IterNodesCost
065421
1139415
2341357
3898348
42934329
done5001329

prune160.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.8b

localize21.0ms

Local error

Found 1 expressions with local error:

6.4b
(fma (* y 4.0) (fma z (- z) t) (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (* y 4.0) (fma z (- z) t) (* x x))

series120.0ms

Counts
1 → 3
Calls
1 calls:
120.0ms
(fma (* y 4.0) (fma z (- z) t) (* x x))

simplify1.5s

Counts
13 → 13
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
030200
158200
2153170
3429166
41795166
done5001166

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.8b

localize29.0ms

Local error

Found 4 expressions with local error:

6.4b
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
6.9b
(cbrt (- t (* z z)))
6.9b
(cbrt (- t (* z z)))
6.9b
(cbrt (- t (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- difference-of-squares
1×fma-udef
Counts
4 → 58
Calls
4 calls:
1.0ms
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
5.0ms
(cbrt (- t (* z z)))
5.0ms
(cbrt (- t (* z z)))
6.0ms
(cbrt (- t (* z z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
168.0ms
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
407.0ms
(cbrt (- t (* z z)))
406.0ms
(cbrt (- t (* z z)))
435.0ms
(cbrt (- t (* z z)))

simplify3.0s

Counts
70 → 70
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
0971117
12141087
2518834
31292767
44201743
done5000743

prune388.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.8b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.8b

regimes394.0ms

Accuracy

43.3% (0.5b remaining)

Error of 5.8b against oracle of 5.3b and baseline of 6.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
11826
done1826

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s15832×body80valid