Details

Time bar (total: 20.2s)

sample107.0ms

Algorithm
intervals
Results
40.0ms867×body80nan
13.0ms185×body80valid
10.0ms33×body640valid
6.0ms9×body1280valid
3.0ms15×body320valid
2.0ms17×body160valid

simplify8.9s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01417
12716
25616
310216
424016
556916
6128016
7246516
8324716
9344016
10344416
done344416

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
5.6b
(log (- 1.0 y))

rewrite24.0ms

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:
3.0ms
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
14.0ms
(* (- z 1.0) (log (- 1.0 y)))
0.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
3.0ms
(log (- 1.0 y))

series357.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
42.0ms
(* (- z 1.0) (log (- 1.0 y)))
115.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
47.0ms
(log (- 1.0 y))

simplify1.6s

Counts
104 → 104
Iterations

Useful iterations: 3 (834.0ms)

IterNodesCost
02141881
14791718
213501515
343201384
done50001384

prune339.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (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))))))) t)
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)))))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
35×*-un-lft-identity
33×prod-diff
28×add-cube-cbrt
17×distribute-rgt-in distribute-lft-in
12×pow1
7×flip3-- associate--l+ log-pow flip--
6×log-prod associate-*r*
5×add-exp-log associate-*l* add-cbrt-cube add-log-exp
4×frac-times distribute-lft-out--
3×expm1-log1p-u sub-neg fma-neg log1p-expm1-u difference-of-squares
2×associate-*r/ associate-*l/ fma-udef
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 106
Calls
3 calls:
3.0ms
(- (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))))))) t)
27.0ms
(* (- 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)))))))

series377.0ms

Counts
3 → 9
Calls
3 calls:
195.0ms
(- (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))))))) t)
69.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
112.0ms
(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)))))))

simplify839.0ms

Counts
115 → 115
Iterations

Useful iterations: done (833.0ms)

IterNodesCost
02375385
14934186
217993509
done50013404

prune365.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* z (pow y 2)))
0.0b
(- (* 0.5 (pow y 2)) (fma 1.0 (* z y) (* 0.5 (* z (pow y 2)))))
0.1b
(fma (- x 1.0) (log y) (- (* 0.5 (pow y 2)) (fma 1.0 (* z y) (* 0.5 (* z (pow y 2))))))
8.0b
(* z (pow y 2))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
15×add-sqr-sqrt
11×add-cbrt-cube
10×prod-exp
9×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow1 associate-*l* add-log-exp
4×expm1-log1p-u unpow-prod-down cbrt-unprod log1p-expm1-u unswap-sqr
3×prod-diff
2×pow-to-exp pow-exp *-commutative fma-udef unpow2 sqr-pow
1×sub-neg flip3-- fma-neg diff-log pow-prod-down flip-- associate--r+
Counts
4 → 79
Calls
4 calls:
8.0ms
(* 0.5 (* z (pow y 2)))
4.0ms
(- (* 0.5 (pow y 2)) (fma 1.0 (* z y) (* 0.5 (* z (pow y 2)))))
0.0ms
(fma (- x 1.0) (log y) (- (* 0.5 (pow y 2)) (fma 1.0 (* z y) (* 0.5 (* z (pow y 2))))))
6.0ms
(* z (pow y 2))

series183.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 0.5 (* z (pow y 2)))
41.0ms
(- (* 0.5 (pow y 2)) (fma 1.0 (* z y) (* 0.5 (* z (pow y 2)))))
78.0ms
(fma (- x 1.0) (log y) (- (* 0.5 (pow y 2)) (fma 1.0 (* z y) (* 0.5 (* z (pow y 2))))))
31.0ms
(* z (pow y 2))

simplify2.1s

Counts
91 → 91
Iterations

Useful iterations: 3 (829.0ms)

IterNodesCost
01431593
13141395
29951236
346241087
done50001087

prune307.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (- x 1.0) (log y) (* (- z 1.0) (* (* (cbrt (log (- 1.0 y))) (cbrt (log (- 1.0 y)))) (cbrt (log (- 1.0 y))))))
5.6b
(log (- 1.0 y))
5.6b
(log (- 1.0 y))
5.6b
(log (- 1.0 y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×log-prod
13×add-sqr-sqrt *-un-lft-identity
7×pow1 add-exp-log add-cube-cbrt
6×log-div
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- rem-log-exp log-pow flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 64
Calls
4 calls:
0.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (* (* (cbrt (log (- 1.0 y))) (cbrt (log (- 1.0 y)))) (cbrt (log (- 1.0 y))))))
3.0ms
(log (- 1.0 y))
3.0ms
(log (- 1.0 y))
3.0ms
(log (- 1.0 y))

series251.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (* (* (cbrt (log (- 1.0 y))) (cbrt (log (- 1.0 y)))) (cbrt (log (- 1.0 y))))))
47.0ms
(log (- 1.0 y))
45.0ms
(log (- 1.0 y))
43.0ms
(log (- 1.0 y))

simplify731.0ms

Counts
76 → 76
Iterations

Useful iterations: done (729.0ms)

IterNodesCost
01051011
1236963
2596756
31610719
done5001715

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes256.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01826
12226
done2226

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s23984×body80nan
325.0ms5893×body80valid
229.0ms748×body640valid
151.0ms243×body1280valid
134.0ms705×body320valid
52.0ms443×body160valid