Details

Time bar (total: 5.4s)

sample73.0ms

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

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (30.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.8b

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)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
54×log-prod
48×times-frac
42×add-sqr-sqrt
40×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×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u div-inv
3×fma-def 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 → 140
Calls
4 calls:
7.0ms
(/ y (+ z y))
66.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ y (+ z y))
70.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
75.0ms
(* y (log (/ y (+ z y))))
45.0ms
(log (/ y (+ z y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03951046
11559967
25001936

prune349.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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×expm1-log1p-u cbrt-div rem-log-exp associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 148
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))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
175.0ms
(cbrt y)
67.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
72.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
03171502
17721456
223701424
350021350

prune630.0ms

Pruning

4 alts after pruning (3 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
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
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 → 47
Calls
2 calls:
3.0ms
(/ (exp (* -1 z)) y)
6.0ms
(+ x (/ (exp (* -1 z)) y))

series45.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (exp (* -1 z)) y)
21.0ms
(+ x (/ (exp (* -1 z)) y))

simplify66.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0184292
1491275
22110271
35002271

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite29.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 144
Calls
4 calls:
4.0ms
(cbrt (exp (* -1 z)))
1.0ms
(cbrt (exp (* -1 z)))
11.0ms
(/ (* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z)))) (/ y (cbrt (exp (* -1 z)))))
8.0ms
(* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (exp (* -1 z)))
86.0ms
(cbrt (exp (* -1 z)))
19.0ms
(/ (* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z)))) (/ y (cbrt (exp (* -1 z)))))
99.0ms
(* (cbrt (exp (* -1 z))) (cbrt (exp (* -1 z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
04681671
123861515
250011397

prune432.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02718
12918
22918

end0.0ms

sample2.1s

Algorithm
intervals
Results
529.0ms6529×body80valid
474.0ms774×body1280valid
376.0ms932×body640valid
178.0ms3115×body80nan
168.0ms614×body320valid
53.0ms305×body160valid