Details

Time bar (total: 7.1s)

sample101.0ms

Algorithm
intervals
Results
36.0ms741×body80nan
10.0ms17×body1280valid
9.0ms28×body640valid
9.0ms173×body80valid
5.0ms28×body320valid
1.0ms10×body160valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 9.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.2b
(* x (log y))
3.8b
(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:
16.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series244.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
69.0ms
(* z (log (- 1.0 y)))
37.0ms
(* x (log y))
47.0ms
(log (- 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0436628
11539553
25002530

prune304.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))))))
0.2b
(* x (log y))
8.3b
(* z (pow y 2))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
29×add-sqr-sqrt
26×prod-exp
24×associate-*r*
19×add-cube-cbrt *-un-lft-identity
18×log-prod
17×add-cbrt-cube
13×add-log-exp
12×div-exp
9×pow1 distribute-rgt-in distribute-lft-in associate-*l*
8×pow-to-exp associate-+r+ times-frac pow-exp
7×unpow-prod-down
6×associate-+l+ associate--l+ cbrt-unprod unswap-sqr
4×sum-log
3×*-commutative unpow2 sqr-pow
2×cbrt-undiv diff-log pow-prod-down
1×+-commutative associate-+r- sub-neg flip3-+ associate-*r/ log-pow flip-+ div-inv
Counts
4 → 122
Calls
4 calls:
14.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
35.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
4.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

series254.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
124.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
41.0ms
(* x (log y))
29.0ms
(* z (pow y 2))

simplify73.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0559937
12381840
25002840

prune495.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
8.3b
(* z (pow y 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log cbrt-prod
8×associate-*r*
6×add-cbrt-cube
4×pow1 unpow-prod-down add-log-exp unswap-sqr
3×pow1/3 associate-*l* prod-exp
2×unpow2 sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
4 → 60
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(* z (pow y 2))

series572.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
182.0ms
(cbrt y)
183.0ms
(cbrt y)
29.0ms
(* z (pow y 2))

simplify88.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0139225
1509193
22362183
35001183

prune404.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow (/ 1 y) -1/3)
8.3b
(* z (pow y 2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
17×add-cube-cbrt unpow-prod-down *-un-lft-identity
14×add-exp-log
9×times-frac
8×associate-*r*
6×pow1 cbrt-prod add-cbrt-cube
5×pow-exp
4×add-log-exp unswap-sqr
3×pow-unpow pow-pow associate-*l* prod-exp sqr-pow
2×pow-to-exp pow1/3 div-exp unpow2
1×rec-exp pow-flip 1-exp *-commutative cbrt-unprod div-inv inv-pow
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt y)
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)
6.0ms
(* z (pow y 2))

series574.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
181.0ms
(cbrt y)
175.0ms
(pow (/ 1 y) -1/3)
34.0ms
(* z (pow y 2))

simplify40.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0298333
11115293
25001266

prune445.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes332.0ms

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
04423
14423

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s24280×body80nan
276.0ms5525×body80valid
261.0ms895×body640valid
219.0ms376×body1280valid
131.0ms753×body320valid
54.0ms491×body160valid