Details

Time bar (total: 10.0s)

sample182.0ms

Algorithm
intervals
Results
87.0ms786×body80nan
22.0ms173×body80valid
17.0ms36×body640valid
9.0ms11×body1280valid
9.0ms27×body320valid
2.0ms9×body160valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b
(* x (log y))
4.4b
(log (- 1.0 y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 106
Calls
4 calls:
7.0ms
(* z (log (- 1.0 y)))
23.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series236.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* z (log (- 1.0 y)))
87.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
43.0ms
(* x (log y))
43.0ms
(log (- 1.0 y))

simplify54.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0519871
11908704
25001676

prune311.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b
(* x (log y))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
57×prod-diff
56×*-un-lft-identity
51×add-cube-cbrt
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
24×log-prod
22×pow1
14×log-pow
13×associate--l+
11×add-log-exp
10×associate-*r*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*l*
5×sub-neg
4×expm1-log1p-u log1p-expm1-u
3×fma-neg distribute-lft-out--
2×flip3-- diff-log associate-*r/ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative fma-def flip3-+ flip-+
Counts
4 → 170
Calls
4 calls:
13.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
20.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
37.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series446.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
181.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
100.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
42.0ms
(* x (log y))

simplify88.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06443156
123912185
250032156

prune554.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 104
Calls
4 calls:
10.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series549.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* x (* 2 (log (cbrt y))))
92.0ms
(* x (log (cbrt y)))
174.0ms
(cbrt y)
183.0ms
(cbrt y)

simplify44.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0297668
11179591
25001567

prune488.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow (/ 1 y) -1/3)))
0.3b
(* x (* 2 (log (cbrt y))))
0.7b
(cbrt y)
5.2b
(pow (/ 1 y) -1/3)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
58×log-prod
42×add-sqr-sqrt
41×distribute-rgt-in distribute-lft-in
40×add-cube-cbrt *-un-lft-identity
39×unpow-prod-down
27×times-frac
16×add-exp-log
15×cbrt-prod
13×pow1
11×add-cbrt-cube
6×associate-*l*
5×associate-*r*
4×expm1-log1p-u pow-prod-down pow-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow pow-pow div-inv sqr-pow
2×div-exp *-commutative
1×pow-to-exp rec-exp pow-flip pow1/3 1-exp log-pow inv-pow unswap-sqr
Counts
4 → 146
Calls
4 calls:
11.0ms
(* x (log (pow (/ 1 y) -1/3)))
10.0ms
(* x (* 2 (log (cbrt y))))
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)

series523.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* x (log (pow (/ 1 y) -1/3)))
98.0ms
(* x (* 2 (log (cbrt y))))
171.0ms
(cbrt y)
173.0ms
(pow (/ 1 y) -1/3)

simplify68.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05711071
12360927
25002848

prune597.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

0% (0.3b 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
04020
14020

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.5s23401×body80nan
694.0ms5518×body80valid
419.0ms843×body640valid
347.0ms421×body1280valid
259.0ms781×body320valid
104.0ms464×body160valid