Details

Time bar (total: 50.9s)

sample331.0ms

Algorithm
intervals
Results
175.0ms1360×body80nan
42.0ms418×body80valid
7.0ms18×body320valid
4.0ms8×body640valid
3.0ms2×body1280valid
1.0ms5×body160valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
51338
4377
3135
262
131
017

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.1b
(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
0.1b
(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
4.6b
(log (- 1.0 z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
19×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
10×pow1
8×log-prod
6×log-pow add-log-exp
5×add-exp-log
4×expm1-log1p-u add-cbrt-cube fma-neg log1p-expm1-u
3×exp-prod 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 rem-exp-log
Counts
4 → 78
Calls
4 calls:
8.0ms
(- (log z) t)
2.0ms
(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
0.0ms
(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
5.0ms
(log (- 1.0 z))

series655.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(- (log z) t)
235.0ms
(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
256.0ms
(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
65.0ms
(log (- 1.0 z))

simplify1.1s

Counts
90 → 90
Iterations
IterNodes
done5000
21239
1426
0187

prune815.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
22×add-sqr-sqrt
16×add-cube-cbrt
12×pow1 prod-diff
7×associate-*l* distribute-lft-out--
6×add-cbrt-cube add-exp-log log-pow add-log-exp
4×expm1-log1p-u fma-neg log1p-expm1-u
3×log-prod exp-prod associate-*r* associate--l+
2×flip3-- associate-*l/ fma-udef flip-- difference-of-squares
1×sub-neg diff-log exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr rem-exp-log
Counts
4 → 86
Calls
4 calls:
170.0ms
(* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)
15.0ms
(- (log z) t)
2.0ms
(exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))
0.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a))

series659.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)
102.0ms
(- (log z) t)
201.0ms
(exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))
270.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a))

simplify1.3s

Counts
98 → 98
Iterations
IterNodes
done5001
21199
1387
0177

prune895.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a))) (cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a))))
12.2b
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))
12.2b
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))
12.2b
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))

rewrite15.0ms

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:
11.0ms
(* (cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a))) (cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a))))
1.0ms
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))
1.0ms
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))
1.0ms
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))

series24.6s

Counts
4 → 12
Calls
4 calls:
20.1s
(* (cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a))) (cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a))))
1.6s
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))
1.4s
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))
1.4s
(cbrt (fma y (- (log z) t) (* (- (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (* z 1.0))) b) a)))

simplify1.3s

Counts
93 → 93
Iterations
IterNodes
done5000
21326
1413
0166

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (exp (fma 2 (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)) (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))))
0.3b
(fma 2 (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)) (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))
0.5b
(fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))
0.5b
(fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×cbrt-prod expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u add-log-exp
1×pow1/3 exp-sum
Counts
4 → 44
Calls
4 calls:
3.0ms
(cbrt (exp (fma 2 (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)) (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))))
0.0ms
(fma 2 (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)) (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))
0.0ms
(fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))
0.0ms
(fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))

series1.6s

Counts
4 → 12
Calls
4 calls:
465.0ms
(cbrt (exp (fma 2 (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)) (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))))
543.0ms
(fma 2 (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)) (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))
308.0ms
(fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))
303.0ms
(fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))

simplify2.2s

Counts
56 → 56
Iterations
IterNodes
done5001
31960
2534
1201
097

prune609.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes580.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done24
124
021

end0.0ms

sample11.0s

Algorithm
intervals
Results
5.7s41239×body80nan
2.0s12486×body80valid
210.0ms353×body640valid
166.0ms410×body320valid
56.0ms60×body1280valid
55.0ms269×body160valid