Details

Time bar (total: 7.0s)

sample102.0ms

Algorithm
intervals
Results
41.0ms823×body80nan
10.0ms196×body80valid
6.0ms9×body1280valid
6.0ms19×body640valid
4.0ms20×body320valid
1.0ms13×body160valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
5.2b
(log (- 1.0 y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt log-prod *-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt
2×expm1-log1p-u log-div add-cbrt-cube log1p-expm1-u add-log-exp
1×flip3-- rem-log-exp log-pow flip-- fma-udef distribute-lft-out-- difference-of-squares
Counts
2 → 28
Calls
2 calls:
0.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
3.0ms
(log (- 1.0 y))

series377.0ms

Counts
2 → 6
Calls
2 calls:
330.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
47.0ms
(log (- 1.0 y))

simplify56.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0232246
1620216
22162213
35001212

prune132.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×*-un-lft-identity
24×prod-diff
20×add-cube-cbrt
17×distribute-rgt-in distribute-lft-in
11×pow1
7×log-pow
6×log-prod flip3-- associate-*r* associate--l+ flip--
5×associate-*l*
4×add-exp-log frac-times add-cbrt-cube
3×distribute-lft-out--
2×expm1-log1p-u sub-neg associate-*r/ associate-*l/ log1p-expm1-u add-log-exp difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 77
Calls
2 calls:
40.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

series279.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
216.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

simplify66.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04271994
119631307
250031300

prune268.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
87×prod-diff
74×add-sqr-sqrt
71×*-un-lft-identity
64×add-cube-cbrt
56×distribute-rgt-in distribute-lft-in
46×associate--l+
39×associate-+r+
22×associate-+l+
21×pow1
14×log-pow
12×log-prod
11×flip3-- associate-*r* flip--
9×sub-neg associate-*l*
8×associate-*r/ add-log-exp
7×add-exp-log add-cbrt-cube
4×frac-times frac-add distribute-lft-out--
3×expm1-log1p-u log1p-expm1-u difference-of-squares
2×pow-prod-down associate-*l/ prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+r- fma-def flip3-+ diff-log flip-+
Counts
3 → 195
Calls
3 calls:
43.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
49.0ms
(+ (* (log y) (- x 1.0)) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
13.0ms
(* (log y) (- x 1.0))

series436.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
243.0ms
(+ (* (log y) (- x 1.0)) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
127.0ms
(* (log y) (- x 1.0))

simplify134.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
09873927
145962863
250012860

prune723.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×prod-diff
34×add-sqr-sqrt
32×*-un-lft-identity
30×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in associate--l+
6×pow1
5×add-exp-log sub-neg associate-*r* add-cbrt-cube add-log-exp
4×associate-*l*
3×expm1-log1p-u log1p-expm1-u
2×flip3-- associate-*r/ flip--
1×fma-neg diff-log pow-prod-down prod-exp log-pow *-commutative cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
9.0ms
(- (* (log y) (- x 1.0)) t)
0.0ms
(fma (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (- z 1.0) (- (* (log y) (- x 1.0)) t))
12.0ms
(* (log y) (- x 1.0))

series367.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(- (* (log y) (- x 1.0)) t)
198.0ms
(fma (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (- z 1.0) (- (* (log y) (- x 1.0)) t))
92.0ms
(* (log y) (- x 1.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0454965
11747708
25002704

prune455.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03524
14324
24524
34524

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s24472×body80nan
305.0ms5804×body80valid
253.0ms833×body640valid
158.0ms265×body1280valid
126.0ms695×body320valid
48.0ms434×body160valid