Details

Time bar (total: 8.5s)

sample109.0ms

Algorithm
intervals
Results
41.0ms829×body80nan
13.0ms185×body80valid
9.0ms32×body640valid
6.0ms7×body1280valid
4.0ms19×body320valid
2.0ms14×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 6.8b

Counts
2 → 1

localize13.0ms

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)
0.2b
(* (- x 1.0) (log y))
5.0b
(log (- 1.0 y))

rewrite38.0ms

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:
12.0ms
(* (- z 1.0) (log (- 1.0 y)))
11.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

series302.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (- z 1.0) (log (- 1.0 y)))
158.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
61.0ms
(* (- x 1.0) (log y))
42.0ms
(log (- 1.0 y))

simplify63.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05871089
12183902
25001886

prune357.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1197126
Fresh000
Picked101
Done000
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize21.0ms

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)))))))
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
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(* (- x 1.0) (log y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×*-un-lft-identity
57×prod-diff
51×add-cube-cbrt
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
28×flip3-- flip--
24×log-prod associate-*l/
22×pow1
16×frac-add
14×log-pow
13×associate--l+
12×frac-times
11×add-log-exp
10×associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×expm1-log1p-u log1p-expm1-u difference-of-squares
3×fma-neg
2×diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ flip-+
Counts
4 → 198
Calls
4 calls:
16.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
14.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
14.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms
(* (- x 1.0) (log y))

series536.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
249.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
72.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
62.0ms
(* (- x 1.0) (log y))

simplify74.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011274542
150013496

prune794.0ms

Filtered
210 candidates to 137 candidates (65.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2073210
Fresh156
Picked101
Done000
Total2098217

Merged error: 0.0b

Counts
217 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×*-un-lft-identity
35×add-cube-cbrt
33×prod-diff
23×distribute-rgt-in distribute-lft-in
18×log-prod
17×pow1
12×associate-*r*
10×associate-*l* log-pow
9×add-log-exp
8×add-exp-log flip3-- add-cbrt-cube flip--
7×associate--l+
6×sqrt-prod
5×distribute-lft-out--
4×expm1-log1p-u frac-times associate-*l/ log1p-expm1-u difference-of-squares
3×sub-neg fma-neg
2×diff-log associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sqrt-pow1 pow1/2 sum-log fma-udef
Counts
4 → 146
Calls
4 calls:
10.0ms
(- (+ (* (- x 1.0) (log (sqrt y))) (fma (log (sqrt y)) (- x 1.0) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) t)
17.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
8.0ms
(* (- x 1.0) (log (sqrt y)))
1.0ms
(fma (log (sqrt y)) (- x 1.0) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series566.0ms

Counts
4 → 12
Calls
4 calls:
296.0ms
(- (+ (* (- x 1.0) (log (sqrt y))) (fma (log (sqrt y)) (- x 1.0) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) t)
70.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
63.0ms
(* (- x 1.0) (log (sqrt y)))
136.0ms
(fma (log (sqrt y)) (- x 1.0) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07453294
132332403
250012396

prune583.0ms

Filtered
158 candidates to 94 candidates (59.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1571158
Fresh077
Picked101
Done000
Total1588166

Merged error: 0.0b

Counts
166 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x 1.0) (log y))
7.9b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
9.3b
(log (+ (sqrt 1.0) (sqrt y)))
9.4b
(log (- (sqrt 1.0) (sqrt y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
34×log-prod
33×add-sqr-sqrt
16×sqrt-prod
14×pow1
13×add-cube-cbrt
9×associate-+r+ difference-of-squares
8×add-exp-log log-div log-pow distribute-lft-out
6×add-cbrt-cube
5×associate-+l+ associate-*l* distribute-lft-out--
4×expm1-log1p-u fma-def associate-*r* log1p-expm1-u add-log-exp
3×distribute-rgt-in flip3-- distribute-lft-in flip3-+ flip-- flip-+
2×associate-+l- associate-+r- rem-log-exp associate-*l/
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 110
Calls
4 calls:
7.0ms
(* (- x 1.0) (log y))
14.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))
8.0ms
(log (- (sqrt 1.0) (sqrt y)))

series667.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x 1.0) (log y))
306.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
146.0ms
(log (+ (sqrt 1.0) (sqrt y)))
151.0ms
(log (- (sqrt 1.0) (sqrt y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04541089
11487993
25001943

prune409.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1211122
Fresh077
Picked101
Done000
Total1228130

Merged error: 0.0b

Counts
130 → 8

regimes507.0ms

Accuracy

87.4% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 6.7b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07698
17698

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.2s24134×body80nan
333.0ms5884×body80valid
249.0ms789×body640valid
167.0ms264×body1280valid
132.0ms670×body320valid
51.0ms409×body160valid

Profiling

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