Details

Time bar (total: 2.6s)

analyze1.3s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 10.648361%

Guaranteed chance to sample good point: 56.981184%

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms61×body80invalid

simplify138.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1016184
1129914
1247574
1350014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.2b
(* (/ x y) (- z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* (/ x y) (- z t)) t)
12.0ms
(* (/ x y) (- z t))

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune85.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh000
Picked011
Done000
Total57764

Merged error: 0b

Counts
64 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
pow1 cbrt-prod frac-times associate-*r/
distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in
associate-*l*
sub-neg flip3-- flip-- add-log-exp
pow1/3 pow-prod-down associate-*l/
times-frac associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
23.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)
13.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify76.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06101418
13070907
25001740

prune91.0ms

Filtered
62 candidates to 110 candidates (-77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh055
Picked011
Done011
Total1107117

Merged error: 0b

Counts
117 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- z t))
0.0b
(+ (/ (* x (- z t)) y) t)
4.9b
(/ (* x (- z t)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* x (- z t))
10.0ms
(+ (/ (* x (- z t)) y) t)
7.0ms
(/ (* x (- z t)) y)

series30.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (- z t))
11.0ms
(+ (/ (* x (- z t)) y) t)
12.0ms
(/ (* x (- z t)) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0288331
11163295
25001283

prune64.0ms

Filtered
43 candidates to 70 candidates (-62.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New68270
Fresh314
Picked011
Done112
Total72577

Merged error: 0b

Counts
77 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- z t))
0.0b
(+ (* (* x (- z t)) (/ 1 y)) t)
5.0b
(* (* x (- z t)) (/ 1 y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
times-frac
associate-*r/ cbrt-unprod
add-log-exp
div-exp associate-*l* pow-prod-down
flip3-- flip--
cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
6.0ms
(* x (- z t))
12.0ms
(+ (* (* x (- z t)) (/ 1 y)) t)
10.0ms
(* (* x (- z t)) (/ 1 y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (- z t))
11.0ms
(+ (* (* x (- z t)) (/ 1 y)) t)
12.0ms
(* (* x (- z t)) (/ 1 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0415479
12004409
25002384

prune64.0ms

Filtered
52 candidates to 88 candidates (-69.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done022
Total88593

Merged error: 0b

Counts
93 → 5

regimes348.0ms

bsearch1.0ms

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