Details

Time bar (total: 46.6s)

sample143.0ms

Algorithm
intervals
Results
60.0ms758×body80nan
14.0ms180×body80valid
9.0ms22×body640valid
8.0ms10×body1280valid
7.0ms26×body320valid
3.0ms19×body160valid

simplify14.8s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01417
12716
25716
313016
428116
564916
6137216
7248416
8332916
9355716
10356116
done356116

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
6.3b
(log (- 1.0 y))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×*-un-lft-identity
16×add-cube-cbrt
15×log-prod
9×prod-diff
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×distribute-rgt-in distribute-lft-in associate-*l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×flip3-- fma-neg flip--
2×log-div associate-*l/ log-pow fma-udef
1×sub-neg diff-log rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 92
Calls
4 calls:
65.0ms
(* (- z 1.0) (log (- 1.0 y)))
13.0ms
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
7.0ms
(log (- 1.0 y))

series530.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (- z 1.0) (log (- 1.0 y)))
227.0ms
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
176.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
66.0ms
(log (- 1.0 y))

simplify2.5s

Counts
104 → 104
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02141881
14831718
213081515
340171384
done50001382

prune628.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×*-un-lft-identity
24×prod-diff
20×add-cube-cbrt
17×distribute-rgt-in distribute-lft-in
11×pow1
7×log-pow
6×log-prod flip3-- associate-*r* associate--l+ flip--
5×associate-*l*
4×add-exp-log frac-times add-cbrt-cube
3×distribute-lft-out--
2×expm1-log1p-u sub-neg associate-*r/ associate-*l/ log1p-expm1-u add-log-exp difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 77
Calls
2 calls:
100.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series251.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
165.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01884010
14002951
214702397
done50001924

prune487.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.6b
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*r/ associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 170
Calls
4 calls:
91.0ms
(* (cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
14.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
15.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
28.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
578.0ms
(* (cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
319.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
322.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
408.0ms
(cbrt (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify973.0ms

Counts
182 → 182
Iterations

Useful iterations: done (954.0ms)

IterNodesCost
034013030
163011757
2171111392
done500010986

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.5b
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.5b
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.5b
(* (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
12.0ms
(* (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))))

series11.1s

Counts
4 → 12
Calls
4 calls:
2.8s
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
2.7s
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
2.6s
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
3.0s
(* (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02195633
16225242
221444767
done50014105

prune903.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes551.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02027
12227
done2227

end0.0ms

sample7.6s

Algorithm
intervals
Results
3.6s24052×body80nan
999.0ms685×body320valid
645.0ms5836×body80valid
614.0ms772×body640valid
343.0ms264×body1280valid
105.0ms483×body160valid