Details

Time bar (total: 8.2s)

sample46.0ms

Algorithm
intervals
Results
10.0ms22×body1280valid
10.0ms213×body80valid
7.0ms27×body640valid
3.0ms20×body320valid
3.0ms82×body80nan
1.0ms10×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
9.4b
(log (/ y (+ z y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
221×*-un-lft-identity
198×log-prod
149×add-sqr-sqrt
147×add-cube-cbrt
144×exp-sum
90×distribute-rgt-in distribute-lft-in
42×associate-/l*
37×distribute-lft-out
24×associate-/r/
13×div-inv
12×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
8×pow1
7×associate-/r*
4×associate-*r* add-log-exp
3×div-exp associate-*l*
2×cbrt-undiv frac-2neg rem-log-exp clear-num log-pow
1×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 288
Calls
4 calls:
35.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
8.0ms
(/ y (+ z y))
11.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(/ (exp (* y (log (/ y (+ z y))))) y)
40.0ms
(/ y (+ z y))
80.0ms
(* y (log (/ y (+ z y))))
55.0ms
(log (/ y (+ z y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
300 → 300
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
08233036
128342608
250022592

prune632.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.3b
(pow (/ (cbrt y) (cbrt (+ z y))) y)
5.0b
(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
48×unpow-prod-down
47×*-un-lft-identity
43×times-frac
35×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
13×log-prod
10×associate-/r/
7×flip3-+ flip-+
6×pow1 distribute-lft-out
5×div-exp rem-log-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
3×pow-unpow
2×pow1/3 associate-*r/ associate-*l/ pow-exp div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 112
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
12.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
11.0ms
(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series741.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
185.0ms
(cbrt y)
281.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
87.0ms
(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05921222
118851161
250021100

prune524.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.3b
(pow (/ (cbrt y) (cbrt (+ z y))) y)
4.2b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
85×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
48×unpow-prod-down log-prod
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div associate-/r/ add-cbrt-cube add-log-exp
3×pow-unpow
2×flip3-+ pow1/3 div-exp rem-log-exp pow-exp flip-+ div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 144
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
13.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
186.0ms
(cbrt y)
290.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) y)
73.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05991534
118841502
250011429

prune702.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.3b
(pow (/ (cbrt y) (cbrt (+ z y))) (/ y 2))
1.3b
(pow (/ (cbrt y) (cbrt (+ z y))) (/ y 2))
4.2b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
138×cbrt-prod
136×*-un-lft-identity
100×add-sqr-sqrt add-cube-cbrt
96×unpow-prod-down
48×log-prod
26×pow-unpow
18×distribute-lft-out
13×add-exp-log
7×pow1
6×cbrt-div associate-/r/
5×div-inv
4×pow-exp add-cbrt-cube add-log-exp
3×flip3-+ div-exp flip-+
2×pow-to-exp pow-pow rem-log-exp sqr-pow
1×log-div pow1/3 log-pow
Counts
4 → 216
Calls
4 calls:
0.0ms
(cbrt y)
14.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) (/ y 2))
14.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) (/ y 2))
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series840.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt y)
284.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) (/ y 2))
292.0ms
(pow (/ (cbrt y) (cbrt (+ z y))) (/ y 2))
72.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06782637
121422600
250032596

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes65.0ms

Accuracy

40% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.1b

bsearch70.0ms

Steps
ItersRangePoint
8
-3.9037330911820875e+110
-1.70681033519655e+106
-9.228583832351033e+106

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04031
14031

end0.0ms

sample1.4s

Algorithm
intervals
Results
335.0ms756×body1280valid
301.0ms6536×body80valid
239.0ms935×body640valid
102.0ms589×body320valid
99.0ms2917×body80nan
34.0ms296×body160valid