Details

Time bar (total: 9.0s)

sample90.0ms

Algorithm
intervals
Results
41.0ms663×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: 13.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
5.4b
(* b (- (* c z) (* i a)))
5.6b
(* x (- (* y z) (* t a)))
5.7b
(* j (- (* c t) (* i y)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r/
19×flip3-- flip--
16×add-sqr-sqrt
12×frac-add
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* add-log-exp
8×frac-sub
6×associate-+l+
4×associate-+r+ associate--l+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sum-log
1×+-commutative associate-+l- flip3-+ diff-log flip-+
Counts
4 → 107
Calls
4 calls:
73.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
25.0ms
(* b (- (* c z) (* i a)))
25.0ms
(* x (- (* y z) (* t a)))
26.0ms
(* j (- (* c t) (* i y)))

series734.0ms

Counts
4 → 12
Calls
4 calls:
545.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
61.0ms
(* b (- (* c z) (* i a)))
65.0ms
(* x (- (* y z) (* t a)))
63.0ms
(* j (- (* c t) (* i y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09581832
150011770

prune563.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 4.5b

localize25.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (cbrt b) (- (* c z) (* i a)))
3.3b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
5.6b
(* x (- (* y z) (* t a)))
5.7b
(* j (- (* c t) (* i y)))

rewrite141.0ms

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:
27.0ms
(* (cbrt b) (- (* c z) (* i a)))
59.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
25.0ms
(* x (- (* y z) (* t a)))
27.0ms
(* j (- (* c t) (* i y)))

series486.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(* (cbrt b) (- (* c z) (* i a)))
96.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
65.0ms
(* x (- (* y z) (* t a)))
60.0ms
(* j (- (* c t) (* i y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0576966
12602762
25002699

prune527.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 3.6b

localize26.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (cbrt j) (- (* c t) (* i y)))
3.9b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
5.4b
(* b (- (* c z) (* i a)))
5.6b
(* x (- (* y z) (* t a)))

rewrite144.0ms

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:
27.0ms
(* (cbrt j) (- (* c t) (* i y)))
61.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
27.0ms
(* b (- (* c z) (* i a)))
25.0ms
(* x (- (* y z) (* t a)))

series703.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (cbrt j) (- (* c t) (* i y)))
98.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
273.0ms
(* b (- (* c z) (* i a)))
64.0ms
(* x (- (* y z) (* t a)))

simplify80.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0576966
12591762
25002699

prune509.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 3.2b

localize30.0ms

Local error

Found 4 expressions with local error:

5.1b
(* t (* j c))
5.4b
(* b (- (* c z) (* i a)))
5.6b
(* x (- (* y z) (* t a)))
6.2b
(* (- j) (* i y))

rewrite88.0ms

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:
15.0ms
(* t (* j c))
27.0ms
(* b (- (* c z) (* i a)))
25.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* (- j) (* i y))

series178.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* t (* j c))
65.0ms
(* b (- (* c z) (* i a)))
64.0ms
(* x (- (* y z) (* t a)))
26.0ms
(* (- j) (* i y))

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0484497
12035427
25002427

prune366.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 3.2b

regimes1.5s

Accuracy

54.2% (4.3b remaining)

Error of 7.6b against oracle of 3.3b and baseline of 12.6b

bsearch5.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07061
17061

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s19019×body80valid