Details

Time bar (total: 5.2s)

sample73.0ms

Algorithm
intervals
Results
18.0ms201×body80valid
16.0ms26×body1280valid
14.0ms34×body640valid
5.0ms90×body80nan
4.0ms17×body320valid
2.0ms10×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z y))
0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
7.2b
(log (/ y (+ z y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×log-prod
48×times-frac
41×add-sqr-sqrt
39×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
11×add-exp-log
8×pow1 associate-/r/ add-cbrt-cube
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r* associate-/r* div-inv
3×associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 129
Calls
4 calls:
5.0ms
(/ y (+ z y))
63.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ y (+ z y))
74.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
79.0ms
(* y (log (/ y (+ z y))))
48.0ms
(log (/ y (+ z y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03811006
11513928
25001904

prune321.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod log-prod
84×*-un-lft-identity times-frac
60×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
179.0ms
(cbrt y)
73.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
03101470
17571424
223271392
350011324

prune529.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp (* -1 z)) y)
0.0b
(+ x (/ (exp (* -1 z)) y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/r* associate-/l*
2×pow1
1×cbrt-undiv +-commutative exp-neg frac-2neg mul-1-neg flip3-+ div-exp clear-num sum-log flip-+ div-inv associate-/l/ distribute-lft-out
Counts
2 → 40
Calls
2 calls:
3.0ms
(/ (exp (* -1 z)) y)
6.0ms
(+ x (/ (exp (* -1 z)) y))

series42.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (exp (* -1 z)) y)
22.0ms
(+ x (/ (exp (* -1 z)) y))

simplify63.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0176274
1464258
22001256
35001256

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp (* -1 z)))
0.0b
(cbrt (exp (* -1 z)))
0.0b
(/ (* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z)))) (/ y (cbrt (exp (* -1 z)))))
0.0b
(* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
59×times-frac
48×add-sqr-sqrt
40×cbrt-prod add-cube-cbrt *-un-lft-identity
23×associate-/r*
18×add-exp-log
12×exp-neg cbrt-div mul-1-neg
11×pow1
10×add-cbrt-cube
8×pow1/3
6×cbrt-undiv swap-sqr div-exp associate-*r* associate-*l*
4×add-log-exp unswap-sqr
3×prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/
2×frac-times associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num *-commutative associate-/l*
Counts
4 → 136
Calls
4 calls:
1.0ms
(cbrt (exp (* -1 z)))
1.0ms
(cbrt (exp (* -1 z)))
10.0ms
(/ (* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z)))) (/ y (cbrt (exp (* -1 z)))))
9.0ms
(* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (exp (* -1 z)))
85.0ms
(cbrt (exp (* -1 z)))
19.0ms
(/ (* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z)))) (/ y (cbrt (exp (* -1 z)))))
98.0ms
(* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z))))

simplify76.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
04601613
123591465
250011343

prune400.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample2.1s

Algorithm
intervals
Results
519.0ms6529×body80valid
475.0ms774×body1280valid
369.0ms932×body640valid
174.0ms3115×body80nan
165.0ms614×body320valid
52.0ms305×body160valid