Details

Time bar (total: 6.8s)

sample93.0ms

Algorithm
intervals
Results
50.0ms629×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
4.8b
(* x (- (* y z) (* t a)))
6.3b
(* j (- (* c t) (* i y)))
6.8b
(* b (- (* c z) (* i a)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×associate-*r/
11×sub-neg
10×pow1 add-exp-log distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in add-cbrt-cube
9×associate-*r* associate-*l*
8×flip3-- flip--
6×add-log-exp
4×associate--l+ frac-sub associate--r+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 96
Calls
4 calls:
10.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
9.0ms
(* x (- (* y z) (* t a)))
9.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
67.0ms
(* x (- (* y z) (* t a)))
65.0ms
(* j (- (* c t) (* i y)))
64.0ms
(* b (- (* c z) (* i a)))

simplify78.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0593891
12760825
25001825

prune421.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.2b

localize24.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (cbrt j) (- (* c t) (* i y)))
3.5b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
4.8b
(* x (- (* y z) (* t a)))
6.8b
(* b (- (* c z) (* i a)))

rewrite59.0ms

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) (- (* c t) (* i y)))
24.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
11.0ms
(* x (- (* y z) (* t a)))
9.0ms
(* b (- (* c z) (* i a)))

series498.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(* (cbrt j) (- (* c t) (* i y)))
100.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
64.0ms
(* x (- (* y z) (* t a)))
68.0ms
(* b (- (* c z) (* i a)))

simplify77.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0576966
12591762
25002699

prune468.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.3b

localize24.0ms

Local error

Found 4 expressions with local error:

3.6b
(* t (* j c))
4.8b
(* x (- (* y z) (* t a)))
6.6b
(* (- j) (* i y))
6.8b
(* b (- (* c z) (* i a)))

rewrite34.0ms

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:
5.0ms
(* t (* j c))
9.0ms
(* x (- (* y z) (* t a)))
8.0ms
(* (- j) (* i y))
9.0ms
(* b (- (* c z) (* i a)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* t (* j c))
66.0ms
(* x (- (* y z) (* t a)))
27.0ms
(* (- j) (* i y))
65.0ms
(* b (- (* c z) (* i a)))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0484497
12035427
25001427

prune422.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.6b

localize21.0ms

Local error

Found 4 expressions with local error:

3.6b
(* t (* j c))
4.8b
(* x (- (* y z) (* t a)))
6.3b
(* (* (- j) i) y)
6.8b
(* b (- (* c z) (* i a)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×distribute-lft-neg-out flip3-- flip-- unswap-sqr
Counts
4 → 85
Calls
4 calls:
6.0ms
(* t (* j c))
9.0ms
(* x (- (* y z) (* t a)))
8.0ms
(* (* (- j) i) y)
9.0ms
(* b (- (* c z) (* i a)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* t (* j c))
66.0ms
(* x (- (* y z) (* t a)))
27.0ms
(* (* (- j) i) y)
65.0ms
(* b (- (* c z) (* i a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0470476
12057406
25002406

prune309.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.1b

regimes904.0ms

Accuracy

22.9% (8.3b remaining)

Error of 10.3b against oracle of 2.0b and baseline of 12.7b

bsearch218.0ms

Steps
ItersRangePoint
9
7.453346283125892e-47
1.7138232721307244e-40
9.356161473125318e-41
9
-3.105896876763685e+40
-1.7537410316774462e+31
-1.9093385244904942e+32

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07329
17929
28529
38529

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s19117×body80valid