Details

Time bar (total: 11.9s)

sample198.0ms

Algorithm
intervals
Results
71.0ms1348×body80nan
24.0ms403×body80valid
2.0ms11×body320valid
2.0ms5×body640valid
1.0ms9×body160valid
1.0ms1×body1280valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03110
16210
213710
334410
4115510
5500110

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.2b
(* y (- (log z) t))
0.8b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.3b
(log (- 1.0 z))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
84×prod-diff
76×add-sqr-sqrt *-un-lft-identity
64×add-cube-cbrt
53×distribute-rgt-in distribute-lft-in
38×associate-+r+
34×associate-+l+
31×pow1
30×log-prod
25×associate--l+ log-pow
10×associate-*r/
7×add-exp-log sub-neg flip3-- flip-- distribute-lft-out-- add-log-exp
6×associate-*r* add-cbrt-cube
5×difference-of-squares
4×expm1-log1p-u fma-neg frac-add log1p-expm1-u
3×associate-*l*
2×log-div
1×+-commutative fma-def flip3-+ diff-log rem-log-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 203
Calls
4 calls:
10.0ms
(- (log z) t)
30.0ms
(* y (- (log z) t))
37.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0ms
(log (- 1.0 z))

series336.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (log z) t)
63.0ms
(* y (- (log z) t))
169.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
44.0ms
(log (- 1.0 z))

simplify99.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08561981
132961486
250021485

prune652.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.0b
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.2b
(* y (- (log z) t))
0.8b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
180×prod-diff
166×*-un-lft-identity
151×add-sqr-sqrt
117×add-cube-cbrt
108×distribute-rgt-in distribute-lft-in
95×associate--l+
74×associate-+r+
51×pow1
43×log-pow
34×associate-+l+
33×distribute-lft-out--
27×log-prod
15×difference-of-squares
13×sub-neg associate-*r*
12×associate-*r/
8×add-exp-log add-cbrt-cube
7×flip3-- flip-- add-log-exp
6×associate-*l*
4×expm1-log1p-u fma-neg frac-add log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ diff-log sum-log flip-+
Counts
4 → 321
Calls
4 calls:
10.0ms
(- (log z) t)
719.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
30.0ms
(* y (- (log z) t))
265.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (log z) t)
92.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
65.0ms
(* y (- (log z) t))
222.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify145.0ms

Algorithm
egg-herbie
Counts
333 → 333
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
010365948
141854321
250014314

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×*-un-lft-identity
15×add-cube-cbrt
12×prod-diff
11×pow1
6×add-exp-log add-cbrt-cube
5×log-pow add-log-exp
4×expm1-log1p-u fma-neg log1p-expm1-u
3×log-prod associate-*r* associate-*l* associate--l+
2×fma-udef distribute-lft-out--
1×sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 76
Calls
4 calls:
9.0ms
(- (log z) t)
7.0ms
(* (fma (+ (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (* b 1))) a)
0.0ms
(fma y (- (log z) t) (* (fma (+ (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (* b 1))) a))
0.0ms
(fma (+ (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (* b 1)))

series1.2s

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (log z) t)
370.0ms
(* (fma (+ (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (* b 1))) a)
478.0ms
(fma y (- (log z) t) (* (fma (+ (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (* b 1))) a))
250.0ms
(fma (+ (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (* b 1)))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03691603
111511289
250021279

prune530.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04834
15534
25534

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.1s40450×body80nan
738.0ms12447×body80valid
120.0ms357×body640valid
84.0ms409×body320valid
43.0ms62×body1280valid
35.0ms286×body160valid