Details

Time bar (total: 15.6s)

sample275.0ms

Algorithm
intervals
Results
141.0ms1178×body80nan
53.0ms386×body80valid
7.0ms13×body640valid
4.0ms10×body160valid
2.0ms2×body1280valid
1.0ms4×body320valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03110
16210
213710
334410
4115510
5500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (log (- 1.0 z)) b))
0.0b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b
(* y (- (log z) t))
7.0b
(log (- 1.0 z))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
54×*-un-lft-identity
48×prod-diff
42×add-cube-cbrt
36×distribute-rgt-in distribute-lft-in
23×pow1
21×log-prod
16×associate--l+
15×log-pow
12×associate-*r*
9×add-exp-log
8×add-cbrt-cube
7×distribute-lft-out-- add-log-exp
6×associate-*l*
5×difference-of-squares
4×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u
3×exp-prod flip3-- flip--
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
1×rem-log-exp exp-sum sum-log
Counts
4 → 155
Calls
4 calls:
18.0ms
(* a (- (log (- 1.0 z)) b))
18.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
17.0ms
(* y (- (log z) t))
3.0ms
(log (- 1.0 z))

series324.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* a (- (log (- 1.0 z)) b))
133.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
71.0ms
(* y (- (log z) t))
47.0ms
(log (- 1.0 z))

simplify75.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06981526
126481102
250021091

prune414.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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

rewrite614.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
96×prod-diff
90×add-sqr-sqrt
68×add-cube-cbrt
54×distribute-rgt-in distribute-lft-in
49×associate--l+
33×pow1
25×log-pow
21×distribute-lft-out--
15×log-prod
13×associate-*r*
9×difference-of-squares
8×add-exp-log add-cbrt-cube add-log-exp
7×sub-neg
6×associate-*l*
4×expm1-log1p-u fma-neg associate-*r/ log1p-expm1-u
3×exp-prod flip3-- flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
1×diff-log exp-sum sum-log
Counts
4 → 210
Calls
4 calls:
4.0ms
(- (log z) t)
476.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
108.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
15.0ms
(* y (- (log z) t))

series398.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (log z) t)
102.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
164.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
72.0ms
(* y (- (log z) t))

simplify94.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07413682
128752500
250012306

prune591.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite774.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
61×*-un-lft-identity
55×add-cube-cbrt
48×prod-diff
37×pow1
34×distribute-rgt-in distribute-lft-in
26×sqrt-pow1
22×sqrt-prod
21×exp-prod
19×associate-*r*
14×log-pow
13×associate-*l*
12×log-prod associate--l+
10×add-exp-log add-cbrt-cube
9×swap-sqr
8×pow1/2 pow-prod-down pow-prod-up
7×add-log-exp
6×pow-sqr unswap-sqr
5×exp-sum
4×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u distribute-lft-out--
3×prod-exp *-commutative cbrt-unprod
2×flip3-- flip-- rem-exp-log difference-of-squares
1×pow2 pow-plus sqrt-unprod sum-log rem-square-sqrt
Counts
4 → 196
Calls
4 calls:
107.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
628.0ms
(* (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))) (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))
15.0ms
(* y (- (log z) t))
15.0ms
(* y (- (log z) t))

series477.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
172.0ms
(* (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))) (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))))
70.0ms
(* y (- (log z) t))
72.0ms
(* y (- (log z) t))

simplify87.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05012829
120942212
250032083

prune778.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
21×add-sqr-sqrt
15×add-cube-cbrt
13×pow1
12×prod-diff
8×associate-*l*
7×log-pow add-log-exp
6×add-exp-log add-cbrt-cube distribute-lft-out--
4×expm1-log1p-u fma-neg log1p-expm1-u
3×log-prod associate-*r* associate--l+ fma-udef
2×flip3-- exp-sum associate-*l/ flip-- distribute-lft-out difference-of-squares
1×distribute-rgt-in sub-neg exp-prod exp-to-pow distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 87
Calls
4 calls:
5.0ms
(- (log z) t)
31.0ms
(* (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a)
4.0ms
(exp (* 2 (fma y (- (log z) t) (* (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a))))
0.0ms
(fma y (- (log z) t) (* (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a))

series565.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (log z) t)
85.0ms
(* (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a)
194.0ms
(exp (* 2 (fma y (- (log z) t) (* (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a))))
229.0ms
(fma y (- (log z) t) (* (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a))

simplify45.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03921028
11242834
25001825

prune442.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes284.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample9.2s

Algorithm
intervals
Results
4.9s40856×body80nan
1.7s12476×body80valid
204.0ms369×body640valid
162.0ms432×body320valid
70.0ms281×body160valid
64.0ms66×body1280valid