Details

Time bar (total: 9.6s)

analyze5.5s

Algorithm
search
sampling

Space saved by range analysis: 0.438596%

Space saved by search: 0.438596%

Guaranteed chance to sample good point: 0%

sample93.0ms

Algorithm
intervals
Results
34.0ms347×body80invalid
19.0ms256×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* y z) (* t a))
5.4b
(* x (- (* y z) (* t a)))
5.7b
(* j (- (* c a) (* y i)))
6.2b
(* b (- (* c z) (* t i)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
4×flip3-- flip--
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 84
Calls
4 calls:
4.0ms
(- (* y z) (* t a))
7.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(- (* y z) (* t a))
19.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* j (- (* c a) (* y i)))
19.0ms
(* b (- (* c z) (* t i)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423552
11763485
25002485

prune233.0ms

Filtered
63 candidates to 96 candidates (-52.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New771996
Fresh000
Picked101
Done000
Total781997

Merged error: 8.6b

Counts
97 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

5.7b
(* j (- (* c a) (* y i)))
8.0b
(cbrt (- (* c z) (* t i)))
8.0b
(cbrt (- (* c z) (* t i)))
8.0b
(cbrt (- (* c z) (* t i)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
6.0ms
(* j (- (* c a) (* y i)))
3.0ms
(cbrt (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* j (- (* c a) (* y i)))
37.0ms
(cbrt (- (* c z) (* t i)))
36.0ms
(cbrt (- (* c z) (* t i)))
39.0ms
(cbrt (- (* c z) (* t i)))

simplify98.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0311602
11066555
23834543
35001534

prune218.0ms

Filtered
59 candidates to 75 candidates (-27.1%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New72375
Fresh01818
Picked101
Done000
Total732194

Merged error: 8.5b

Counts
94 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

6.2b
(* b (- (* c z) (* t i)))
7.9b
(cbrt (- (* c a) (* y i)))
7.9b
(cbrt (- (* c a) (* y i)))
7.9b
(cbrt (- (* c a) (* y i)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
6.0ms
(* b (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c a) (* y i)))
3.0ms
(cbrt (- (* c a) (* y i)))
3.0ms
(cbrt (- (* c a) (* y i)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* b (- (* c z) (* t i)))
39.0ms
(cbrt (- (* c a) (* y i)))
40.0ms
(cbrt (- (* c a) (* y i)))
38.0ms
(cbrt (- (* c a) (* y i)))

simplify104.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0311605
11061558
23830546
35001537

prune231.0ms

Filtered
59 candidates to 75 candidates (-27.1%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh02020
Picked011
Done000
Total742296

Merged error: 8.5b

Counts
96 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

6.2b
(* b (- (* c z) (* t i)))
6.3b
(cbrt (* b (- (* c z) (* t i))))
6.3b
(cbrt (* b (- (* c z) (* t i))))
6.3b
(cbrt (* b (- (* c z) (* t i))))

rewrite20.0ms

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*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
6.0ms
(* b (- (* c z) (* t i)))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))

series141.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* b (- (* c z) (* t i)))
41.0ms
(cbrt (* b (- (* c z) (* t i))))
42.0ms
(cbrt (* b (- (* c z) (* t i))))
41.0ms
(cbrt (* b (- (* c z) (* t i))))

simplify92.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0252554
1925501
23676492
35002480

prune85.0ms

Filtered
56 candidates to 69 candidates (-23.2%)
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New67269
Fresh11920
Picked011
Done011
Total682391

Merged error: 8.5b

Counts
91 → 23

regimes2.1s

bsearch2.0ms

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