Details

Time bar (total: 9.6s)

sample114.0ms

Algorithm
intervals
Results
49.0ms605×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune8.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.1b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c t) (* i y))
6.7b
(* j (- (* c t) (* i y)))
7.1b
(* x (- (* y z) (* t a)))
7.3b
(* b (- (* c z) (* i a)))

rewrite22.0ms

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

series67.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c t) (* i y))
18.0ms
(* j (- (* c t) (* i y)))
20.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* b (- (* c z) (* i a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0424552
11770485
25001485

prune611.0ms

Filtered
96 candidates to 63 candidates (34.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New762096
Fresh000
Picked101
Done000
Total772097

Merged error: 12.6b

Counts
97 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

7.3b
(* b (- (* c z) (* i a)))
8.2b
(cbrt (- (* y z) (* t a)))
8.2b
(cbrt (- (* y z) (* t a)))
8.2b
(cbrt (- (* y z) (* t a)))

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) (* i a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series134.0ms

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

simplify102.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0310602
11070555
23841543
35001534

prune674.0ms

Filtered
75 candidates to 59 candidates (21.3%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh01919
Picked101
Done000
Total752095

Merged error: 12.6b

Counts
95 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
4.9b
(* (cbrt b) (- (* c z) (* i a)))
6.7b
(* j (- (* c t) (* i y)))
7.1b
(* x (- (* y z) (* t a)))

rewrite35.0ms

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:
12.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
6.0ms
(* (cbrt b) (- (* c z) (* i a)))
8.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* x (- (* y z) (* t a)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
68.0ms
(* (cbrt b) (- (* c z) (* i a)))
18.0ms
(* j (- (* c t) (* i y)))
18.0ms
(* x (- (* y z) (* t a)))

simplify66.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0591987
12501780
25002717

prune813.0ms

Filtered
120 candidates to 71 candidates (40.8%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New1155120
Fresh11819
Picked101
Done000
Total11723140

Merged error: 10.7b

Counts
140 → 23

localize22.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (neg b) (* i a))
5.5b
(* z (* b c))
6.7b
(* j (- (* c t) (* i y)))
7.1b
(* x (- (* y z) (* t a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*
18×pow1 add-exp-log add-cbrt-cube
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out neg-mul-1
Counts
4 → 92
Calls
4 calls:
8.0ms
(* (neg b) (* i a))
5.0ms
(* z (* b c))
6.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* x (- (* y z) (* t a)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (neg b) (* i a))
6.0ms
(* z (* b c))
18.0ms
(* j (- (* c t) (* i y)))
18.0ms
(* x (- (* y z) (* t a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0486497
12039427
25002427

prune510.0ms

Filtered
104 candidates to 67 candidates (35.6%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh61622
Picked101
Done000
Total10522127

Merged error: 8.9b

Counts
127 → 22

regimes2.6s

Accuracy

23% (5.2b remaining)

Error of 11.5b against oracle of 6.3b and baseline of 13.1b

bsearch235.0ms

Steps
ItersRangePoint
10
1.4958858181332487e-84
1.7139983540280698e-74
2.3820135137188133e-78
4
-5.017447897030544e-28
-2.6433822163767395e-28
-3.644695842675911e-28

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06632
17732
28232
38232

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s19127×body80valid

Profiling

Loading profile data...