Details

Time bar (total: 9.3s)

sample97.0ms

Algorithm
intervals
Results
36.0ms772×body80nan
10.0ms183×body80valid
8.0ms27×body640valid
4.0ms24×body320valid
3.0ms4×body1280valid
2.0ms18×body160valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
4.8b
(log (- 1.0 y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u
3×fma-neg log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 114
Calls
4 calls:
18.0ms
(* (- z 1.0) (log (- 1.0 y)))
42.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
11.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series297.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (- z 1.0) (log (- 1.0 y)))
152.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
57.0ms
(* (- x 1.0) (log y))
42.0ms
(log (- 1.0 y))

simplify60.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05871089
12183902
25001886

prune371.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
80×times-frac
78×associate-*r*
76×*-un-lft-identity
67×add-cube-cbrt
56×unpow-prod-down
33×prod-diff
31×add-exp-log
24×unpow2 sqr-pow
20×distribute-rgt-in distribute-lft-in
19×unswap-sqr
18×pow1
13×associate-*l* add-cbrt-cube
12×log-prod prod-exp
9×div-exp add-log-exp
8×flip3-- log-pow flip--
7×associate--l+
6×pow-to-exp pow-exp
5×distribute-lft-out--
4×expm1-log1p-u frac-times associate-*l/ cbrt-unprod log1p-expm1-u difference-of-squares
3×sub-neg fma-neg associate-*r/ pow-prod-down *-commutative
2×diff-log
1×cbrt-undiv sum-log div-inv
Counts
4 → 240
Calls
4 calls:
49.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
27.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
43.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
11.0ms
(* (- x 1.0) (log y))

series417.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
51.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
64.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
60.0ms
(* (- x 1.0) (log y))

simplify57.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011743396
150022459

prune843.0ms

Filtered
252 candidates to 150 candidates (59.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
0.1b
(* (- x 1.0) (log y))
0.1b
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.4b
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
105×sqrt-prod
84×prod-diff
81×add-sqr-sqrt
78×*-un-lft-identity
64×add-cube-cbrt
48×distribute-rgt-in distribute-lft-in
32×frac-times
29×pow1
22×flip3-- flip--
20×associate-*r*
18×associate-*l/
15×log-pow
13×add-exp-log flip3-+ add-cbrt-cube flip-+
11×associate-*l*
10×associate-*r/
6×log-prod difference-of-squares
5×pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative distribute-lft-out
2×sub-neg sqrt-div unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 224
Calls
4 calls:
3.0ms
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
11.0ms
(* (- x 1.0) (log y))
49.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
97.0ms
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
54.0ms
(* (- x 1.0) (log y))
154.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
267.0ms
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012579614
150027109

prune956.0ms

Filtered
236 candidates to 134 candidates (56.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 1.0) (log (cbrt y)))
0.3b
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
28×add-cube-cbrt
24×log-prod
23×distribute-rgt-in distribute-lft-in
22×associate-+l+
18×cbrt-prod prod-diff
12×associate-+r+
7×pow1
6×add-exp-log associate-*l/ add-cbrt-cube add-log-exp
5×flip3-- associate-*r* associate-*l* flip--
4×expm1-log1p-u associate-*r/ frac-add log1p-expm1-u
3×pow1/3
2×sub-neg log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 116
Calls
4 calls:
12.0ms
(* (- x 1.0) (log (cbrt y)))
17.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series779.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (- x 1.0) (log (cbrt y)))
296.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
183.0ms
(cbrt y)
171.0ms
(cbrt y)

simplify81.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05421129
12640925
25002878

prune739.0ms

Filtered
128 candidates to 105 candidates (82.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes450.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03428
13428

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s23975×body80nan
310.0ms5915×body80valid
216.0ms726×body640valid
167.0ms279×body1280valid
126.0ms702×body320valid
45.0ms403×body160valid