Details

Time bar (total: 12.7s)

sample198.0ms

Algorithm
intervals
Results
82.0ms1384×body80nan
28.0ms430×body80valid
4.0ms11×body640valid
3.0ms11×body320valid
2.0ms2×body1280valid
1.0ms9×body160valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03110
16210
213710
334410
4115510
5500110

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b
(* y (- (log z) t))
0.8b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.9b
(log (- 1.0 z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
72×prod-diff
66×add-sqr-sqrt
65×*-un-lft-identity
56×add-cube-cbrt
53×distribute-rgt-in distribute-lft-in
38×associate-+r+
34×associate-+l+
27×log-prod
26×pow1
22×associate--l+
20×log-pow
10×associate-*r/
9×add-log-exp
7×add-exp-log
6×sub-neg flip3-- associate-*r* add-cbrt-cube flip--
5×distribute-lft-out--
4×expm1-log1p-u frac-add log1p-expm1-u difference-of-squares
3×exp-prod associate-*l*
2×log-div sum-log rem-exp-log
1×+-commutative fma-def flip3-+ rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 182
Calls
4 calls:
9.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
9.0ms
(* y (- (log z) t))
17.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms
(log (- 1.0 z))

series437.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
72.0ms
(* y (- (log z) t))
184.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
46.0ms
(log (- 1.0 z))

simplify95.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09041913
135011501
250011500

prune655.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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))))
0.1b
(* 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)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
168×prod-diff
155×*-un-lft-identity
141×add-sqr-sqrt
109×add-cube-cbrt
108×distribute-rgt-in distribute-lft-in
92×associate--l+
74×associate-+r+
46×pow1
38×log-pow
34×associate-+l+
31×distribute-lft-out--
24×log-prod
14×difference-of-squares
13×associate-*r*
12×sub-neg associate-*r/
9×add-log-exp
8×add-exp-log add-cbrt-cube
6×flip3-- associate-*l* flip--
4×expm1-log1p-u frac-add log1p-expm1-u
3×exp-prod
2×pow-prod-down prod-exp sum-log *-commutative cbrt-unprod rem-exp-log unswap-sqr
1×+-commutative fma-def flip3-+ exp-sum flip-+
Counts
4 → 300
Calls
4 calls:
27.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
19.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
9.0ms
(* y (- (log z) t))
30.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series565.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
161.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
67.0ms
(* y (- (log z) t))
236.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify150.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
010915982
144694426
250014420

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
0.6b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
0.6b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
0.6b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
52×*-un-lft-identity
37×add-sqr-sqrt
22×pow1 distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×log-pow
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
28.0ms
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
11.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
15.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

series958.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
233.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
233.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
232.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05272977
119672821
250012531

prune881.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ (* (log (sqrt z)) y) (fma (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a (* y (- (log (sqrt z)) t)))))
0.1b
(* y (- (log (sqrt z)) t))
0.3b
(* (log (sqrt z)) y)
0.5b
(fma (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a (* y (- (log (sqrt z)) t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
36×prod-diff
34×*-un-lft-identity
31×add-cube-cbrt
26×distribute-rgt-in distribute-lft-in
23×pow1
22×log-pow
12×log-prod associate--l+
9×associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
7×sqrt-pow1 pow1/2 add-log-exp
6×sqrt-prod
4×expm1-log1p-u log1p-expm1-u
3×exp-prod
2×sub-neg associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log distribute-lft-out-- unswap-sqr
1×flip3-- exp-sum sum-log flip-- fma-udef difference-of-squares
Counts
4 → 125
Calls
4 calls:
5.0ms
(exp (+ (* (log (sqrt z)) y) (fma (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a (* y (- (log (sqrt z)) t)))))
10.0ms
(* y (- (log (sqrt z)) t))
5.0ms
(* (log (sqrt z)) y)
1.0ms
(fma (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a (* y (- (log (sqrt z)) t)))

series749.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(exp (+ (* (log (sqrt z)) y) (fma (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a (* y (- (log (sqrt z)) t)))))
95.0ms
(* y (- (log (sqrt z)) t))
117.0ms
(* (log (sqrt z)) y)
291.0ms
(fma (- (log 1.0) (+ (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z)) b)) a (* y (- (log (sqrt z)) t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05251512
119311185
250021141

prune539.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04642
15342
25342

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.4s41613×body80nan
816.0ms12720×body80valid
132.0ms375×body640valid
88.0ms394×body320valid
51.0ms69×body1280valid
34.0ms254×body160valid