Details

Time bar (total: 58.2s)

sample385.0ms

Algorithm
intervals
Results
176.0ms1413×body80nan
76.0ms414×body80valid
10.0ms16×body640valid
4.0ms10×body320valid
3.0ms2×body1280valid
1.0ms5×body160valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
017497
131472
262472
3135472
4377472
51338472
done5000472

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.0b
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
0.1b
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
5.5b
(log (- 1.0 z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×*-un-lft-identity
16×add-cube-cbrt
12×pow1 prod-diff
8×log-prod
6×add-cbrt-cube add-exp-log log-pow
5×add-log-exp
4×expm1-log1p-u fma-neg associate-*l* log1p-expm1-u
3×associate-*r* associate--l+ distribute-lft-out--
2×log-div flip3-- fma-udef flip-- difference-of-squares
1×sub-neg diff-log rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 85
Calls
4 calls:
20.0ms
(- (log z) t)
19.0ms
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
0.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
5.0ms
(log (- 1.0 z))

series873.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (log z) t)
457.0ms
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
264.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
58.0ms
(log (- 1.0 z))

simplify1.6s

Counts
97 → 97
Iterations

Useful iterations: done (1.6s)

IterNodesCost
020534509
146831388
2147028718
done500128473

prune834.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
72×prod-diff
71×add-sqr-sqrt
51×add-cube-cbrt
43×associate--l+
37×distribute-rgt-in distribute-lft-in
26×pow1
19×distribute-lft-out--
18×log-pow
10×associate-*r*
9×log-prod
8×add-cbrt-cube difference-of-squares
7×associate-*l* add-exp-log
5×sub-neg add-log-exp
4×expm1-log1p-u fma-neg log1p-expm1-u
2×flip3-- pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod fma-udef flip-- unswap-sqr
1×diff-log exp-sum
Counts
4 → 167
Calls
4 calls:
180.0ms
(* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))
15.0ms
(- (log z) t)
19.0ms
(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))) x)
0.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))

series905.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))
79.0ms
(- (log z) t)
344.0ms
(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))) x)
366.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))

simplify3.1s

Counts
179 → 179
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0333104685
172895586
2253281544
done500273067

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*l*
13×add-sqr-sqrt
11×pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt sqrt-prod
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod fma-udef log1p-expm1-u add-log-exp
2×exp-sum *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
48.0ms
(* (sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))) (* (sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))) x))
21.0ms
(* (sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))) x)
0.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))
1.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))

series1.6s

Counts
4 → 12
Calls
4 calls:
374.0ms
(* (sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))) (* (sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))) x))
549.0ms
(* (sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))) x)
353.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))
311.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))

simplify3.5s

Counts
81 → 81
Iterations

Useful iterations: done (3.5s)

IterNodesCost
010755918
124553449
295352019
done500149929

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))) (cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))))
13.1b
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))
13.1b
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))
13.1b
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))

rewrite16.0ms

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:
12.0ms
(* (cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))) (cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))))
1.0ms
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))
1.0ms
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))
1.0ms
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))

series25.2s

Counts
4 → 12
Calls
4 calls:
20.0s
(* (cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))) (cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b)))))
1.7s
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))
1.8s
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))
1.7s
(cbrt (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* 1.0 z))) b))))

simplify2.3s

Counts
93 → 93
Iterations

Useful iterations: done (2.2s)

IterNodesCost
015671768
138669687
2124368758
done500065144

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes631.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
021648
124648
done24648

end0.0ms

sample11.1s

Algorithm
intervals
Results
5.7s41334×body80nan
2.0s12500×body80valid
335.0ms370×body640valid
210.0ms396×body320valid
71.0ms75×body1280valid
54.0ms270×body160valid