Details

Time bar (total: 9.5s)

analyze1.5s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.8%98%0.3%13
2.4%97.3%0.3%14

sample32.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms100×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08013
18013

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y z) (* a (+ t (* z b))))
0.0b
(+ x (+ (* y z) (* a (+ t (* z b)))))
3.4b
(* a (+ t (* z b)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-+r+ flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 49
Calls
3 calls:
4.0ms
(+ (* y z) (* a (+ t (* z b))))
7.0ms
(+ x (+ (* y z) (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* y z) (* a (+ t (* z b))))
26.0ms
(+ x (+ (* y z) (* a (+ t (* z b)))))
13.0ms
(* a (+ t (* z b)))

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05048702

prune91.0ms

Filtered
45 candidates to 58 candidates (-28.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New53558
Fresh011
Picked011
Done000
Total53760

Merged error: 0.0b

Counts
60 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

3.4b
(* a (+ t (* z b)))
3.9b
(cbrt (* a (+ t (* z b))))
3.9b
(cbrt (* a (+ t (* z b))))
3.9b
(cbrt (* a (+ t (* z b))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
5.0ms
(* a (+ t (* z b)))
4.0ms
(cbrt (* a (+ t (* z b))))
4.0ms
(cbrt (* a (+ t (* z b))))
4.0ms
(cbrt (* a (+ t (* z b))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* a (+ t (* z b)))
31.0ms
(cbrt (* a (+ t (* z b))))
31.0ms
(cbrt (* a (+ t (* z b))))
33.0ms
(cbrt (* a (+ t (* z b))))

simplify45.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04998642
14998642

prune98.0ms

Filtered
56 candidates to 67 candidates (-19.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66167
Fresh145
Picked101
Done011
Total68674

Merged error: 0.0b

Counts
74 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

3.4b
(* a (+ t (* z b)))
3.9b
(cbrt (* a (+ t (* z b))))
3.9b
(cbrt (* a (+ t (* z b))))
3.9b
(cbrt (+ t (* z b)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×cbrt-prod
4×flip3-+ flip-+ add-log-exp
3×pow1/3 associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
5.0ms
(* a (+ t (* z b)))
4.0ms
(cbrt (* a (+ t (* z b))))
5.0ms
(cbrt (* a (+ t (* z b))))
2.0ms
(cbrt (+ t (* z b)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* a (+ t (* z b)))
32.0ms
(cbrt (* a (+ t (* z b))))
30.0ms
(cbrt (* a (+ t (* z b))))
27.0ms
(cbrt (+ t (* z b)))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05067663

prune103.0ms

Filtered
59 candidates to 69 candidates (-16.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh044
Picked011
Done011
Total69675

Merged error: 0.0b

Counts
75 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.5b
(* (+ t (* z b)) (cbrt a))
2.4b
(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))

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 a)
1.0ms
(cbrt a)
6.0ms
(* (+ t (* z b)) (cbrt a))
10.0ms
(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
21.0ms
(cbrt a)
33.0ms
(* (+ t (* z b)) (cbrt a))
17.0ms
(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05051586

prune69.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done022
Total82688

Merged error: 0.0b

Counts
88 → 6

regimes642.0ms

Accuracy

86.9% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch4.1s

Steps
ItersRangePoint
9
6.454378778423361e-13
2.2511062549104737e-07
6.536397756212793e-13
8
-5.281737091623119e+103
-2.2746603595987695e+100
-2.4655990237370592e+100

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03937
13937

end0.0ms

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.8%98%0.3%13
2.4%97.3%0.3%14

sample920.0ms

Algorithm
intervals
Results
368.0ms8000×body80valid
172.0ms3744×body80invalid

Profiling

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