Details

Time bar (total: 33.1s)

sample450.0ms

Algorithm
intervals
Results
163.0ms1413×body80nan
84.0ms414×body80valid
10.0ms16×body640valid
4.0ms10×body320valid
3.0ms2×body1280valid
1.0ms5×body160valid

simplify1.8s

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

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.0b
(* x (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))
5.5b
(log (- 1.0 z))

rewrite47.0ms

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-*r* log1p-expm1-u
3×associate-*l* 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:
15.0ms
(- (log z) t)
19.0ms
(* x (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))
10.0ms
(log (- 1.0 z))

series642.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (log z) t)
229.0ms
(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
253.0ms
(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
65.0ms
(log (- 1.0 z))

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
done5000
21399
1468
0204

prune865.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
25×add-sqr-sqrt
17×add-cube-cbrt
14×pow1
12×prod-diff
10×associate-*l*
8×add-cbrt-cube
7×associate-*r* add-exp-log distribute-lft-out--
6×log-pow
5×add-log-exp
4×expm1-log1p-u fma-neg log1p-expm1-u
3×log-prod associate--l+
2×flip3-- pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod fma-udef flip-- difference-of-squares unswap-sqr
1×sub-neg diff-log exp-sum
Counts
4 → 93
Calls
4 calls:
140.0ms
(* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)
7.0ms
(- (log z) t)
20.0ms
(* x (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))
1.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

series844.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)
89.0ms
(- (log z) t)
312.0ms
(* x (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))
343.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

simplify1.8s

Counts
105 → 105
Iterations
IterNodes
done5000
21397
1430
0189

prune989.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*r*
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-*l* 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:
41.0ms
(* (* x (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))) (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)))))
13.0ms
(* x (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)))))
0.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))
0.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

series1.4s

Counts
4 → 12
Calls
4 calls:
310.0ms
(* (* x (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))) (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)))))
424.0ms
(* x (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)))))
308.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))
350.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

simplify2.7s

Counts
81 → 81
Iterations
IterNodes
done5001
21179
1264
0111

prune869.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize121.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
11×sqrt-prod
10×associate-*r*
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
1×associate-*l* exp-sum *-commutative
Counts
4 → 57
Calls
4 calls:
57.0ms
(* (* x (sqrt (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)))))) (sqrt (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))))
1.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))
1.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))
1.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

series1.3s

Counts
4 → 12
Calls
4 calls:
450.0ms
(* (* x (sqrt (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)))))) (sqrt (sqrt (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))))
283.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))
267.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))
291.0ms
(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

simplify2.9s

Counts
69 → 69
Iterations
IterNodes
done5000
21050
1246
0102

prune897.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes478.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
124
021

end0.0ms

sample13.3s

Algorithm
intervals
Results
6.6s41334×body80nan
1.7s12500×body80valid
246.0ms370×body640valid
167.0ms396×body320valid
82.0ms75×body1280valid
63.0ms270×body160valid