Details

Time bar (total: 5.0s)

sample84.0ms

Algorithm
intervals
Results
48.0ms615×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.8b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
3.9b
(* b (- (* c z) (* i a)))
4.5b
(* j (- (* c t) (* i y)))
6.5b
(* x (- (* y z) (* t a)))

rewrite23.0ms

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:
3.0ms
(- (* y z) (* t a))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* x (- (* y z) (* t a)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* y z) (* t a))
67.0ms
(* b (- (* c z) (* i a)))
67.0ms
(* j (- (* c t) (* i y)))
67.0ms
(* x (- (* y z) (* t a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0425552
11771485
25002485

prune388.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New771996
Fresh000
Picked101
Done000
Total781997

Merged error: 9.0b

Counts
97 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

6.0b
(cbrt (- (* c t) (* i y)))
6.0b
(cbrt (- (* c t) (* i y)))
6.0b
(cbrt (- (* c t) (* i y)))
6.5b
(* x (- (* y z) (* t a)))

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:
3.0ms
(cbrt (- (* c t) (* i y)))
3.0ms
(cbrt (- (* c t) (* i y)))
3.0ms
(cbrt (- (* c t) (* i y)))
6.0ms
(* x (- (* y z) (* t a)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (- (* c t) (* i y)))
118.0ms
(cbrt (- (* c t) (* i y)))
113.0ms
(cbrt (- (* c t) (* i y)))
67.0ms
(* x (- (* y z) (* t a)))

simplify106.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0315590
11061543
23794525
35001516

prune407.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh01818
Picked101
Done000
Total751994

Merged error: 9.0b

Counts
94 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
2.6b
(* (cbrt j) (- (* c t) (* i y)))
3.9b
(* b (- (* c z) (* i a)))
6.5b
(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-sqr-sqrt
15×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
10×sub-neg associate-*r/ associate-*r*
4×cbrt-prod flip3-- *-commutative flip-- add-log-exp unswap-sqr
Counts
4 → 108
Calls
4 calls:
11.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
6.0ms
(* (cbrt j) (- (* c t) (* i y)))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
269.0ms
(* (cbrt j) (- (* c t) (* i y)))
67.0ms
(* b (- (* c z) (* i a)))
67.0ms
(* x (- (* y z) (* t a)))

simplify78.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0576966
12593762
25001699

prune477.0ms

Filtered
120 candidates to 74 candidates (61.7%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh01818
Picked011
Done000
Total11722139

Merged error: 8.2b

Counts
139 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

6.1b
(cbrt (* b (- (* c z) (* i a))))
6.1b
(cbrt (* b (- (* c z) (* i a))))
6.1b
(cbrt (* b (- (* c z) (* i a))))
6.5b
(* x (- (* y z) (* t a)))

rewrite21.0ms

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:
5.0ms
(cbrt (* b (- (* c z) (* i a))))
5.0ms
(cbrt (* b (- (* c z) (* i a))))
5.0ms
(cbrt (* b (- (* c z) (* i a))))
6.0ms
(* x (- (* y z) (* t a)))

series481.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (* b (- (* c z) (* i a))))
140.0ms
(cbrt (* b (- (* c z) (* i a))))
136.0ms
(cbrt (* b (- (* c z) (* i a))))
70.0ms
(* x (- (* y z) (* t a)))

simplify117.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0314542
11106489
24138480
35001477

prune325.0ms

Filtered
69 candidates to 56 candidates (81.2%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh11920
Picked101
Done011
Total702191

Merged error: 8.2b

Counts
91 → 21

regimes1.1s

bsearch5.0ms

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