Details

Time bar (total: 3.6s)

sample37.0ms

Algorithm
intervals
Results
19.0ms321×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (34.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-+r+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(/ (- x z) y)
3.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series51.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- x z) y)
26.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify81.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264320
1853293
23888293
35001293

prune106.0ms

Filtered
57 candidates to 42 candidates (73.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh101
Picked011
Done000
Total55459

Merged error: 0b

Counts
59 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
0.2b
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
2.9b
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
23.4b
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
14×add-exp-log add-cbrt-cube
12×pow1
10×associate-*r/
7×distribute-rgt-in distribute-lft-in
6×flip3-+ associate--l+ flip-+ add-log-exp
5×associate-/l*
4×frac-times flip3-- pow-prod-down prod-exp sum-cubes flip-- cbrt-unprod distribute-lft-out
3×sub-neg pow-unpow associate-*r* associate-/r*
2×cube-div pow-pow associate-*l/ pow-exp associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv cube-mult pow-to-exp unpow-prod-down frac-2neg diff-log unpow3 cube-prod div-exp associate-*l* clear-num *-commutative div-inv sqr-pow
Counts
4 → 111
Calls
4 calls:
12.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
24.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
12.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
39.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
103.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
53.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
191.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

simplify118.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06752125
137401950
250011944

prune305.0ms

Filtered
123 candidates to 85 candidates (69.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done011
Total1234127

Merged error: 0b

Counts
127 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
0.2b
(pow (+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))) 3)
22.9b
(cbrt (pow (+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
15×times-frac
12×cbrt-prod
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
5×pow1 associate-/l*
4×cube-div distribute-lft-out-- difference-of-squares
3×pow-unpow flip3-+ associate-/r* flip-+
2×cube-mult cbrt-div associate-+r+ unpow3 associate-/l/ sqr-pow
1×cbrt-undiv +-commutative distribute-rgt-in pow-to-exp flip3-- pow-pow frac-2neg distribute-lft-in pow1/3 div-sub div-exp pow-exp clear-num sum-log flip-- rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 99
Calls
4 calls:
6.0ms
(/ (- x z) y)
3.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
4.0ms
(pow (+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))) 3)
4.0ms
(cbrt (pow (+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))) 3))

series225.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (- x z) y)
26.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
139.0ms
(pow (+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))) 3)
31.0ms
(cbrt (pow (+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y)))) 3))

simplify54.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415825
11829767
25003761

prune213.0ms

Filtered
111 candidates to 70 candidates (63.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh011
Picked011
Done022
Total1114115

Merged error: 0b

Counts
115 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 4.0 (+ 0.25 (* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y))))))
0.2b
(* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y)))
3.9b
(sqrt (/ (- x z) y))
3.9b
(sqrt (/ (- x z) y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
140×sqrt-prod
136×add-sqr-sqrt
120×*-un-lft-identity
110×times-frac
66×add-cube-cbrt
30×swap-sqr
24×distribute-lft-out--
22×associate-*r* associate-*l*
21×pow1
18×difference-of-squares
10×sqrt-pow1 pow1/2
9×unswap-sqr
6×add-exp-log sqrt-div add-cbrt-cube div-inv add-log-exp
5×pow-prod-up
4×rem-sqrt-square
3×pow-prod-down pow-sqr
2×associate-+r+
1×+-commutative pow2 distribute-rgt-in frac-times distribute-lft-in flip3-+ pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod flip-+
Counts
4 → 186
Calls
4 calls:
3.0ms
(+ 1.0 (* 4.0 (+ 0.25 (* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y))))))
27.0ms
(* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y)))
6.0ms
(sqrt (/ (- x z) y))
5.0ms
(sqrt (/ (- x z) y))

series486.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(+ 1.0 (* 4.0 (+ 0.25 (* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y))))))
72.0ms
(* (sqrt (/ (- x z) y)) (sqrt (/ (- x z) y)))
241.0ms
(sqrt (/ (- x z) y))
59.0ms
(sqrt (/ (- x z) y))

simplify94.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
04241392
119151262
250021232

prune369.0ms

Filtered
198 candidates to 126 candidates (63.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1980198
Fresh000
Picked011
Done033
Total1984202

Merged error: 0b

Counts
202 → 4

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample560.0ms

Algorithm
intervals
Results
358.0ms10079×body80valid

Profiling

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