Details

Time bar (total: 2.6s)

analyze274.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms27×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
07339
17339

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 3.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.9b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
Counts
2 → 44
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04969430
14969430

prune89.0ms

Filtered
36 candidates to 50 candidates (-38.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New42850
Fresh000
Picked011
Done000
Total42951

Merged error: 2.9b

Counts
51 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
1.9b
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×associate-*l* associate-*l/ add-log-exp
2×flip3-+ pow1/3 associate-*r/ *-commutative flip-+ unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
25.0ms
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))

simplify35.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05007729

prune103.0ms

Filtered
54 candidates to 82 candidates (-51.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New80282
Fresh167
Picked011
Done011
Total811091

Merged error: 2.9b

Counts
91 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
1.0b
(* (* (+ 1.0 (* z (- y 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)))
1.9b
(* (* (cbrt x) (cbrt x)) (* (* (+ 1.0 (* z (- y 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
21×cbrt-prod
18×pow-prod-down prod-exp cbrt-unprod
15×add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
8×associate-*l/
4×add-log-exp
2×flip3-+ pow1/3 associate-*r/ associate-*l* *-commutative flip-+
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
10.0ms
(* (* (+ 1.0 (* z (- y 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (* (+ 1.0 (* z (- y 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
30.0ms
(cbrt (cbrt x))
23.0ms
(* (* (+ 1.0 (* z (- y 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (* (+ 1.0 (* z (- y 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x))))

simplify79.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04942871
14942871

prune117.0ms

Filtered
57 candidates to 93 candidates (-63.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh077
Picked011
Done022
Total9211103

Merged error: 1.7b

Counts
103 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (neg x))
0.6b
(cbrt (neg x))
1.9b
(* (* (cbrt x) (cbrt x)) (+ (* 1.0 (* (cbrt -1) (cbrt (neg x)))) (* (* z (* (cbrt -1) (cbrt (neg x)))) (- y 1.0))))
2.6b
(* (* z (* (cbrt -1) (cbrt (neg x)))) (- y 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
18×pow1 add-exp-log
15×add-sqr-sqrt
14×*-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
9×pow-prod-down prod-exp cbrt-unprod
8×associate-*r*
6×distribute-lft-neg-in distribute-rgt-neg-in
4×associate-*r/ add-log-exp
2×distribute-rgt-in neg-mul-1 sub-neg distribute-lft-in pow1/3 associate-*l* *-commutative
1×flip3-- flip3-+ flip-- flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 86
Calls
4 calls:
2.0ms
(cbrt (neg x))
2.0ms
(cbrt (neg x))
13.0ms
(* (* (cbrt x) (cbrt x)) (+ (* 1.0 (* (cbrt -1) (cbrt (neg x)))) (* (* z (* (cbrt -1) (cbrt (neg x)))) (- y 1.0))))
12.0ms
(* (* z (* (cbrt -1) (cbrt (neg x)))) (- y 1.0))

series229.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (neg x))
25.0ms
(cbrt (neg x))
133.0ms
(* (* (cbrt x) (cbrt x)) (+ (* 1.0 (* (cbrt -1) (cbrt (neg x)))) (* (* z (* (cbrt -1) (cbrt (neg x)))) (- y 1.0))))
48.0ms
(* (* z (* (cbrt -1) (cbrt (neg x)))) (- y 1.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
056661547

prune164.0ms

Filtered
70 candidates to 98 candidates (-40.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New94498
Fresh347
Picked101
Done123
Total9910109

Merged error: 0.1b

Counts
109 → 10

regimes592.0ms

Accuracy

97.9% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 3.2b

bsearch1.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
023159
123159

end0.0ms

sample429.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid
18.0ms670×body80invalid

Profiling

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