Details

Time bar (total: 7.2s)

sample113.0ms

Algorithm
intervals
Results
51.0ms625×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 9.7b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
3.3b
(* j (- (* c a) (* y i)))
4.2b
(* x (- (* y z) (* t a)))
4.6b
(* b (- (* c z) (* t i)))

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

series67.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0423552
11763485
25002485

prune228.0ms

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: 6.9b

Counts
97 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

4.2b
(* x (- (* y z) (* t a)))
6.2b
(cbrt (- (* c z) (* t i)))
6.2b
(cbrt (- (* c z) (* t i)))
6.2b
(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
(* x (- (* y z) (* t a)))
3.0ms
(cbrt (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (- (* y z) (* t a)))
36.0ms
(cbrt (- (* c z) (* t i)))
40.0ms
(cbrt (- (* c z) (* t i)))
37.0ms
(cbrt (- (* c z) (* t i)))

simplify104.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0313602
11075555
23839543
35001534

prune198.0ms

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

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh01818
Picked011
Done000
Total751994

Merged error: 6.9b

Counts
94 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

4.6b
(* b (- (* c z) (* t i)))
6.0b
(cbrt (* j (- (* c a) (* y i))))
6.0b
(cbrt (* j (- (* c a) (* y i))))
6.0b
(cbrt (* j (- (* c a) (* y 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 (* j (- (* c a) (* y i))))
4.0ms
(cbrt (* j (- (* c a) (* y i))))
4.0ms
(cbrt (* j (- (* c a) (* y i))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* b (- (* c z) (* t i)))
43.0ms
(cbrt (* j (- (* c a) (* y i))))
42.0ms
(cbrt (* j (- (* c a) (* y i))))
43.0ms
(cbrt (* j (- (* c a) (* y i))))

simplify112.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0309554
11109501
24337492
35001480

prune185.0ms

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

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh01717
Picked011
Done011
Total691988

Merged error: 6.9b

Counts
88 → 19

localize25.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (cbrt j) (- (* c a) (* y i)))
2.4b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
4.2b
(* x (- (* y z) (* t a)))
4.6b
(* b (- (* c z) (* t i)))

rewrite31.0ms

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:
6.0ms
(* (cbrt j) (- (* c a) (* y i)))
11.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
5.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* t i)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (cbrt j) (- (* c a) (* y i)))
25.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
18.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* b (- (* c z) (* t i)))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0593987
12490787
25001724

prune98.0ms

Filtered
71 candidates to 120 candidates (-69.0%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1173120
Fresh21416
Picked101
Done022
Total12019139

Merged error: 6.2b

Counts
139 → 19

regimes1.8s

Accuracy

28.8% (3.8b remaining)

Error of 11.1b against oracle of 7.3b and baseline of 12.6b

bsearch141.0ms

Steps
ItersRangePoint
9
1.877080784685085e+76
2.196290575639195e+81
1.1223250487977715e+80
6
-5.050950268815371e+106
-3.4330023243225145e+105
-7.979183641095238e+105

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06860
17260
27960
37960

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.6s19165×body80valid

Profiling

Loading profile data...