Details

Time bar (total: 7.7s)

sample110.0ms

Algorithm
intervals
Results
39.0ms831×body80nan
14.0ms22×body1280valid
9.0ms178×body80valid
9.0ms30×body640valid
4.0ms20×body320valid
1.0ms7×body160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize11.0ms

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))
4.0b
(log (- 1.0 y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×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 → 86
Calls
4 calls:
7.0ms
(* z (log (- 1.0 y)))
16.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms
(* x (log y))
2.0ms
(log (- 1.0 y))

series238.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* z (log (- 1.0 y)))
89.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
37.0ms
(* x (log y))
46.0ms
(log (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0436628
11539553
25002530

prune263.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0b
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
0.3b
(* x (log y))
8.2b
(* z (pow y 2))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×add-log-exp
13×*-un-lft-identity
12×associate-*r*
11×add-exp-log add-cube-cbrt
8×add-cbrt-cube
7×pow1
6×log-prod diff-log associate-*l*
5×sum-log unswap-sqr
4×unpow-prod-down prod-exp
3×distribute-rgt-in distribute-lft-in
2×*-commutative cbrt-unprod unpow2 sqr-pow
1×+-commutative associate--l- pow-to-exp associate-+r- sub-neg flip3-- flip3-+ pow-prod-down pow-exp associate--l+ log-pow flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
6.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
283.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
4.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

series369.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
182.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
37.0ms
(* x (log y))
30.0ms
(* z (pow y 2))

simplify60.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0424822
11769732
25002705

prune343.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)
8.2b
(* z (pow y 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
24×cbrt-prod associate-+l+
21×add-cube-cbrt *-un-lft-identity
12×associate-+r+
9×add-exp-log
8×associate-*r*
6×add-cbrt-cube add-log-exp
4×pow1 unpow-prod-down unswap-sqr
3×associate-*l* prod-exp
2×pow1/3 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
13.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(* z (pow y 2))

series485.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
182.0ms
(cbrt y)
174.0ms
(cbrt y)
30.0ms
(* z (pow y 2))

simplify51.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0402637
11429528
25001467

prune617.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
0.6b
(cbrt y)
5.2b
(pow (/ 1 y) -1/3)
8.2b
(* z (pow y 2))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
58×log-prod
46×add-sqr-sqrt
43×unpow-prod-down
41×distribute-rgt-in distribute-lft-in
40×add-cube-cbrt *-un-lft-identity
34×associate-+r+
27×times-frac
24×associate-+l+
15×cbrt-prod
14×add-exp-log
8×associate-*r*
6×pow1 add-cbrt-cube add-log-exp
5×pow-exp sqr-pow
4×unswap-sqr
3×pow-unpow pow-pow associate-*l* prod-exp div-inv
2×pow-to-exp div-exp unpow2
1×+-commutative rec-exp pow-flip flip3-+ pow1/3 1-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out inv-pow
Counts
4 → 140
Calls
4 calls:
20.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)
10.0ms
(* z (pow y 2))

series584.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
182.0ms
(cbrt y)
185.0ms
(pow (/ 1 y) -1/3)
30.0ms
(* z (pow y 2))

simplify77.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06921040
12478914
25002811

prune823.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04422
14422

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s24079×body80nan
287.0ms5544×body80valid
257.0ms860×body640valid
246.0ms415×body1280valid
128.0ms725×body320valid
51.0ms478×body160valid