Details

Time bar (total: 5.3s)

analyze3.5s

Algorithm
search
sampling

Space saved by range analysis: 0.292611%

Space saved by search: 1.996595%

Guaranteed chance to sample good point: 8.072529%

sample35.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms121×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
2.0b
(* a (+ t (* z b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×sum-log
4×flip3-+ flip-+
3×+-commutative associate-+r+ associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
2.0ms
(+ t (* z b))
3.0ms
(+ x (* a (+ t (* z b))))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ t (* z b))
17.0ms
(+ x (* a (+ t (* z b))))
27.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
13.0ms
(* a (+ t (* z b)))

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0325392
11353363
25001363

prune100.0ms

Filtered
54 candidates to 71 candidates (-31.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New66571
Fresh011
Picked011
Done000
Total66773

Merged error: 0.0b

Counts
73 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
2.4b
(cbrt (+ t (* z b)))
2.4b
(cbrt (+ t (* z b)))
2.4b
(cbrt (+ t (* z b)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
20.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series98.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
30.0ms
(cbrt (+ t (* z b)))
27.0ms
(cbrt (+ t (* z b)))
28.0ms
(cbrt (+ t (* z b)))

simplify105.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
04471173
112711069
24562971
35002946

prune123.0ms

Filtered
67 candidates to 98 candidates (-46.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh055
Picked011
Done011
Total987105

Merged error: 0.0b

Counts
105 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b
(* a (+ t (* z b)))
4.3b
(cbrt (* a (+ t (* z b))))
4.3b
(cbrt (* a (+ t (* z b))))
4.3b
(cbrt (* a (+ t (* z b))))

rewrite22.0ms

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:
9.0ms
(* 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))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* a (+ t (* z b)))
33.0ms
(cbrt (* a (+ t (* z b))))
31.0ms
(cbrt (* a (+ t (* z b))))
40.0ms
(cbrt (* a (+ t (* z b))))

simplify91.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0238438
1922397
23665382
35001373

prune100.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh044
Picked011
Done022
Total67774

Merged error: 0.0b

Counts
74 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.6b
(* (* a z) b)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
9×sum-log
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l+ flip3-+ flip-+
1×associate-*l* *-commutative
Counts
3 → 45
Calls
3 calls:
5.0ms
(+ (+ x (* y z)) (* t a))
9.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(* (* a z) b)

series48.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (+ x (* y z)) (* t a))
27.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms
(* (* a z) b)

simplify44.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0281329
11444298
25001297

prune67.0ms

Filtered
39 candidates to 54 candidates (-38.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New54054
Fresh033
Picked011
Done033
Total54761

Merged error: 0.0b

Counts
61 → 7

regimes640.0ms

bsearch1.0ms

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