Details

Time bar (total: 11.9s)

sample123.0ms

Algorithm
intervals
Results
43.0ms82×body1280valid
23.0ms52×body640valid
15.0ms23×body2560valid
13.0ms11×body160valid
8.0ms26×body320valid
7.0ms62×body80valid

simplify356.0ms

Calls
1 calls:
Slowest
356.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.4b

localize37.0ms

Local error

Found 2 expressions with local error:

11.3b
(- (fma x y z) (+ 1 (+ (* x y) z)))
0.0b
(+ (* x y) z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-log-exp
2×pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
1×+-commutative sub-neg flip3-+ flip3-- diff-log flip-+ flip-- associate--r+ distribute-lft-out-- difference-of-squares
Calls
2 calls:
Slowest
16.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))
4.0ms
(+ (* x y) z)

series63.0ms

Calls
2 calls:
Slowest
41.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))
22.0ms
(+ (* x y) z)

simplify1.3s

Calls
11 calls:
Slowest
288.0ms
(- (fma x y z) (+ z (+ 1 (* x y))))
275.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))
246.0ms
(- (fma x y z) (+ z (+ 1 (* x y))))
233.0ms
(- (fma x y z) (+ z (+ 1 (* x y))))
189.0ms
(/ (exp (fma x y z)) (exp (+ 1 (+ (* x y) z))))

prune372.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 9.8b

localize24.0ms

Local error

Found 2 expressions with local error:

9.1b
(- (fma x y z) (+ z (* x y)))
0.0b
(+ z (* x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-log-exp
2×pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
1×+-commutative sub-neg flip3-+ flip3-- diff-log flip-+ flip-- associate--r+ distribute-lft-out-- difference-of-squares
Calls
2 calls:
Slowest
7.0ms
(- (fma x y z) (+ z (* x y)))
1.0ms
(+ z (* x y))

series51.0ms

Calls
2 calls:
Slowest
28.0ms
(+ z (* x y))
23.0ms
(- (fma x y z) (+ z (* x y)))

simplify419.0ms

Calls
11 calls:
Slowest
104.0ms
(/ (exp (fma x y z)) (exp (+ z (* x y))))
70.0ms
(- (fma x y z) (+ z (* x y)))
66.0ms
(- (fma x y z) (+ z (* x y)))
66.0ms
(- (fma x y z) (+ z (* x y)))
60.0ms
(- (fma x y z) (+ z (* x y)))

prune373.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 9.1b

localize13.0ms

Local error

Found 3 expressions with local error:

10.9b
(- (- (fma x y z) z) (* x y))
2.6b
(- (fma x y z) z)
0.5b
(log (/ (exp (- (- (fma x y z) z) (* x y))) E))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
5×add-log-exp
4×add-sqr-sqrt pow1 log-prod *-un-lft-identity add-exp-log add-cube-cbrt
3×sub-neg add-cbrt-cube insert-posit16
2×flip3-- associate--l+ flip--
1×associate--l- log-div diff-log rem-log-exp log-pow div-inv
Calls
3 calls:
Slowest
41.0ms
(log (/ (exp (- (- (fma x y z) z) (* x y))) E))
32.0ms
(- (- (fma x y z) z) (* x y))
6.0ms
(- (fma x y z) z)

series127.0ms

Calls
3 calls:
Slowest
80.0ms
(log (/ (exp (- (- (fma x y z) z) (* x y))) E))
26.0ms
(- (- (fma x y z) z) (* x y))
21.0ms
(- (fma x y z) z)

simplify2.2s

Calls
19 calls:
Slowest
333.0ms
(/ (exp (- (- (fma x y z) z) (* x y))) E)
258.0ms
(log (/ (exp (- (fma x y z) (+ z (* x y)))) E))
237.0ms
(log (exp (- (- (fma x y z) z) (* x y))))
225.0ms
(log (* (cbrt (/ (exp (- (- (fma x y z) z) (* x y))) E)) (cbrt (/ (exp (- (- (fma x y z) z) (* x y))) E))))
210.0ms
(log (sqrt (/ (exp (- (- (fma x y z) z) (* x y))) E)))

prune575.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 9.1b

localize17.0ms

Local error

Found 3 expressions with local error:

2.6b
(- (fma x y z) z)
0.2b
(log (/ (exp (- (fma x y z) z)) E))
0.0b
(exp (- (fma x y z) z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 log-prod add-exp-log add-log-exp
3×exp-prod add-cbrt-cube insert-posit16
2×sub-neg exp-sum
1×log-div flip3-- exp-diff rem-log-exp log-pow div-inv flip-- rem-exp-log
Calls
3 calls:
Slowest
17.0ms
(log (/ (exp (- (fma x y z) z)) E))
15.0ms
(exp (- (fma x y z) z))
7.0ms
(- (fma x y z) z)

series138.0ms

Calls
3 calls:
Slowest
70.0ms
(log (/ (exp (- (fma x y z) z)) E))
46.0ms
(exp (- (fma x y z) z))
22.0ms
(- (fma x y z) z)

simplify912.0ms

Calls
22 calls:
Slowest
173.0ms
(- (+ (* 1/2 (* (exp (fma x y z)) (pow z 2))) (exp (fma x y z))) (* (exp (fma x y z)) z))
101.0ms
(log (/ (exp (- (fma x y z) z)) E))
100.0ms
(log (/ (exp (- (fma x y z) z)) E))
98.0ms
(log (* (cbrt (/ (exp (- (fma x y z) z)) E)) (cbrt (/ (exp (- (fma x y z) z)) E))))
75.0ms
(log (sqrt (/ (exp (- (fma x y z) z)) E)))

prune604.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 9.1b

regimes108.0ms

Accuracy

0% (0.1b remaining)

Error of 8.4b against oracle of 8.2b and baseline of 8.4b

bsearch2.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.8s2621×body1280valid
1.0s1587×body640valid
383.0ms629×body2560valid
246.0ms735×body320valid
184.0ms2097×body80valid
87.0ms331×body160valid