Details

Time bar (total: 29.5s)

sample166.0ms

Algorithm
intervals
Results
52.0ms792×body80nan
19.0ms25×body320valid
14.0ms178×body80valid
14.0ms32×body640valid
4.0ms6×body1280valid
3.0ms16×body160valid

simplify798.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
8769
7237
6112
577
460
352
238
122
012

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (log (- 1.0 y)) z (- t))
0.2b
(fma (log y) x (fma (log (- 1.0 y)) z (- t)))
5.3b
(log (- 1.0 y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
5×log-prod
4×pow1 add-exp-log add-cube-cbrt
3×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×log-div fma-udef
1×flip3-- rem-log-exp log-pow flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 38
Calls
3 calls:
7.0ms
(fma (log (- 1.0 y)) z (- t))
1.0ms
(fma (log y) x (fma (log (- 1.0 y)) z (- t)))
10.0ms
(log (- 1.0 y))

series436.0ms

Counts
3 → 9
Calls
3 calls:
155.0ms
(fma (log (- 1.0 y)) z (- t))
200.0ms
(fma (log y) x (fma (log (- 1.0 y)) z (- t)))
81.0ms
(log (- 1.0 y))

simplify1.6s

Counts
47 → 47
Iterations
IterNodes
done5000
32976
2792
1265
0122

prune415.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (fma (- y) 1.0 (log 1.0))) z (- t))
0.1b
(fma (log y) x (fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (fma (- y) 1.0 (log 1.0))) z (- t)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (fma (- y) 1.0 (log 1.0))) z (- t))
1.0ms
(fma (log y) x (fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (fma (- y) 1.0 (log 1.0))) z (- t)))

series366.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (fma (- y) 1.0 (log 1.0))) z (- t))
245.0ms
(fma (log y) x (fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (fma (- y) 1.0 (log 1.0))) z (- t)))

simplify680.0ms

Counts
26 → 26
Iterations
IterNodes
done5001
31004
2265
196
052

prune212.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))) (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))))
0.6b
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
0.6b
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
0.6b
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))) (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))))
1.0ms
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
1.0ms
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
1.0ms
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))

series6.6s

Counts
4 → 12
Calls
4 calls:
1.9s
(* (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))) (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))))
1.6s
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
1.6s
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
1.5s
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))

simplify991.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
21045
1294
0126

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize89.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
0.6b
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
0.6b
(cbrt (* (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))) (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))))
0.9b
(pow (cbrt (cbrt (- (fma (log y) x (* z (fma (/ y 1.0) (* (/ y 1.0) -1/2) (fma y (- 1.0) (log 1.0))))) t))) (+ 3 1))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
14×*-un-lft-identity
12×add-sqr-sqrt
11×unpow-prod-down
10×add-cube-cbrt
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow add-cbrt-cube pow1/3 log1p-expm1-u add-log-exp
2×pow-pow
1×pow-to-exp unpow-prod-up pow-exp distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 67
Calls
4 calls:
2.0ms
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
1.0ms
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
9.0ms
(cbrt (* (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))) (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))))
36.0ms
(pow (cbrt (cbrt (- (fma (log y) x (* z (fma (/ y 1.0) (* (/ y 1.0) -1/2) (fma y (- 1.0) (log 1.0))))) t))) (+ 3 1))

series6.2s

Counts
4 → 12
Calls
4 calls:
1.9s
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
1.6s
(cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))
1.9s
(cbrt (* (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t)))) (cbrt (fma x (log y) (fma z (fma (* -1/2 (/ y 1.0)) (/ y 1.0) (fma y (- 1.0) (log 1.0))) (- t))))))
781.0ms
(pow (cbrt (cbrt (- (fma (log y) x (* z (fma (/ y 1.0) (* (/ y 1.0) -1/2) (fma y (- 1.0) (log 1.0))))) t))) (+ 3 1))

simplify996.0ms

Counts
79 → 79
Iterations
IterNodes
done5001
21869
1585
0230

prune1.2s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.1b

regimes874.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
016

end0.0ms

sample6.6s

Algorithm
intervals
Results
2.8s23933×body80nan
593.0ms5548×body80valid
531.0ms860×body640valid
424.0ms385×body1280valid
227.0ms743×body320valid
145.0ms492×body160valid