Details

Time bar (total: 31.4s)

sample390.0ms

Algorithm
intervals
Results
175.0ms1413×body80nan
77.0ms414×body80valid
10.0ms16×body640valid
3.0ms10×body320valid
2.0ms2×body1280valid
1.0ms5×body160valid

simplify952.0ms

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.0b
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b
(* y (- (log z) t))
5.5b
(log (- 1.0 z))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
42×*-un-lft-identity
36×prod-diff
34×add-cube-cbrt
21×pow1
17×distribute-rgt-in distribute-lft-in
14×log-prod
13×log-pow
10×associate-*r*
9×associate--l+
8×add-cbrt-cube add-exp-log
6×associate-*l*
5×distribute-lft-out-- add-log-exp
4×expm1-log1p-u fma-neg log1p-expm1-u
3×sub-neg flip3-- flip-- difference-of-squares
2×log-div pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×diff-log rem-log-exp exp-sum
Counts
4 → 134
Calls
4 calls:
8.0ms
(- (log z) t)
150.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
38.0ms
(* y (- (log z) t))
5.0ms
(log (- 1.0 z))

series485.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (log z) t)
219.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
106.0ms
(* y (- (log z) t))
73.0ms
(log (- 1.0 z))

simplify1.6s

Counts
146 → 146
Iterations
IterNodes
done5001
21995
1599
0257

prune985.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))
0.0b
(- (log z) t)
0.0b
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))))
0.2b
(* y (- (log z) t))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
120×prod-diff
107×*-un-lft-identity
103×add-sqr-sqrt
83×add-cube-cbrt
74×associate-+r+
71×distribute-rgt-in distribute-lft-in
55×associate--l+
38×pow1
34×associate-+l+
30×log-pow
21×log-prod
16×distribute-lft-out--
10×associate-*r* associate-*r/
9×sub-neg
8×add-cbrt-cube difference-of-squares
7×add-exp-log add-log-exp
6×flip3-- associate-*l* flip--
4×expm1-log1p-u fma-neg frac-add log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log fma-def flip3-+ diff-log exp-sum flip-+
Counts
4 → 242
Calls
4 calls:
83.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))
8.0ms
(- (log z) t)
174.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))))
56.0ms
(* y (- (log z) t))

series849.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))
95.0ms
(- (log z) t)
317.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))))
115.0ms
(* y (- (log z) t))

simplify1.2s

Counts
254 → 254
Iterations
IterNodes
done5000
23865
11075
0428

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (exp (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (+ (* 1.0 z) b))) (* (- (log z) t) y)))))
0.0b
(* (* x (sqrt (exp (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (+ (* 1.0 z) b))) (* (- (log z) t) y))))) (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b))))))
0.2b
(* y (- (log z) t))
0.2b
(* (- (log z) t) y)

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
35×*-un-lft-identity
29×add-cube-cbrt
24×prod-diff
23×pow1 associate-*r*
17×distribute-rgt-in distribute-lft-in
15×add-cbrt-cube add-exp-log
13×associate-*l*
9×sqrt-prod
8×log-pow
6×log-prod pow-prod-down prod-exp associate--l+ cbrt-unprod
4×expm1-log1p-u *-commutative log1p-expm1-u distribute-lft-out-- add-log-exp unswap-sqr
2×sub-neg flip3-- exp-sum associate-*l/ associate-*r/ flip-- difference-of-squares
1×fma-udef
Counts
4 → 133
Calls
4 calls:
12.0ms
(* x (sqrt (exp (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (+ (* 1.0 z) b))) (* (- (log z) t) y)))))
184.0ms
(* (* x (sqrt (exp (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (+ (* 1.0 z) b))) (* (- (log z) t) y))))) (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b))))))
39.0ms
(* y (- (log z) t))
31.0ms
(* (- (log z) t) y)

series1.5s

Counts
4 → 12
Calls
4 calls:
488.0ms
(* x (sqrt (exp (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (+ (* 1.0 z) b))) (* (- (log z) t) y)))))
778.0ms
(* (* x (sqrt (exp (fma a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (+ (* 1.0 z) b))) (* (- (log z) t) y))))) (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b))))))
97.0ms
(* y (- (log z) t))
96.0ms
(* (- (log z) t) y)

simplify1.4s

Counts
145 → 145
Iterations
IterNodes
done5001
22546
1620
0271

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize130.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (sqrt (sqrt (exp (fma (- (log z) t) y (* a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma 1.0 z b)))))))) x) (sqrt (exp (fma (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (fma 1.0 z b))) a (* (- (log z) t) y))))) (sqrt (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))))))
0.1b
(fma (- (log z) t) y (* a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma 1.0 z b)))))
0.2b
(* y (- (log z) t))
0.2b
(* (- (log z) t) y)

rewrite406.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
33×*-un-lft-identity
27×add-cube-cbrt
25×pow1
24×prod-diff
19×associate-*r*
17×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
11×sqrt-prod
10×associate-*l*
8×pow-prod-down prod-exp log-pow cbrt-unprod
6×log-prod associate--l+
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- add-log-exp
3×*-commutative
2×sub-neg flip3-- associate-*l/ associate-*r/ flip-- difference-of-squares unswap-sqr
1×exp-sum fma-udef
Counts
4 → 124
Calls
4 calls:
341.0ms
(* (* (* (sqrt (sqrt (exp (fma (- (log z) t) y (* a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma 1.0 z b)))))))) x) (sqrt (exp (fma (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (fma 1.0 z b))) a (* (- (log z) t) y))))) (sqrt (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))))))
0.0ms
(fma (- (log z) t) y (* a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma 1.0 z b)))))
36.0ms
(* y (- (log z) t))
25.0ms
(* (- (log z) t) y)

series2.1s

Counts
4 → 12
Calls
4 calls:
1.6s
(* (* (* (sqrt (sqrt (exp (fma (- (log z) t) y (* a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma 1.0 z b)))))))) x) (sqrt (exp (fma (- (log 1.0) (fma 1/2 (* (/ z 1.0) (/ z 1.0)) (fma 1.0 z b))) a (* (- (log z) t) y))))) (sqrt (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (/ (* z z) 1.0) 1.0) (* 1.0 z))) b)))))))
257.0ms
(fma (- (log z) t) y (* a (- (log 1.0) (fma (* (/ z 1.0) (/ z 1.0)) 1/2 (fma 1.0 z b)))))
130.0ms
(* y (- (log z) t))
132.0ms
(* (- (log z) t) y)

simplify1.6s

Counts
136 → 136
Iterations
IterNodes
done5000
22827
1660
0283

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes685.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done28
128
023

end0.0ms

sample11.2s

Algorithm
intervals
Results
6.0s41334×body80nan
1.8s12500×body80valid
223.0ms370×body640valid
132.0ms396×body320valid
107.0ms270×body160valid
88.0ms75×body1280valid