Details

Time bar (total: 7.4s)

sample71.0ms

Algorithm
intervals
Results
37.0ms563×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

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))))
2.8b
(* j (- (* c t) (* i y)))
5.0b
(* b (- (* c z) (* i a)))
6.0b
(* x (- (* y z) (* t a)))

rewrite33.0ms

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

series746.0ms

Counts
4 → 12
Calls
4 calls:
550.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
64.0ms
(* j (- (* c t) (* i y)))
65.0ms
(* b (- (* c z) (* i a)))
67.0ms
(* x (- (* y z) (* t a)))

simplify42.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09581832
150021770

prune558.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.8b

localize22.0ms

Local error

Found 4 expressions with local error:

2.8b
(* j (- (* c t) (* i y)))
3.3b
(* b (- (* i a)))
6.0b
(* x (- (* y z) (* t a)))
6.4b
(* b (* c z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
6.0ms
(* j (- (* c t) (* i y)))
5.0ms
(* b (- (* i a)))
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* b (* c z))

series184.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* j (- (* c t) (* i y)))
28.0ms
(* b (- (* i a)))
63.0ms
(* x (- (* y z) (* t a)))
29.0ms
(* b (* c z))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0445484
12066419
25001419

prune454.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.8b

localize31.0ms

Local error

Found 4 expressions with local error:

4.8b
(cbrt (* j (- (* c t) (* i y))))
4.8b
(cbrt (* j (- (* c t) (* i y))))
6.0b
(* x (- (* y z) (* t a)))
6.4b
(* b (* c z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r/ associate-*l*
4×cbrt-div associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×flip3-- flip--
2×cbrt-prod distribute-rgt-in sub-neg distribute-lft-in pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* b (* c z))

series365.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (* j (- (* c t) (* i y))))
137.0ms
(cbrt (* j (- (* c t) (* i y))))
68.0ms
(* x (- (* y z) (* t a)))
24.0ms
(* b (* c z))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0398483
11450426
25002420

prune450.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.8b

localize27.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
3.3b
(* b (- (* i a)))
6.0b
(* x (- (* y z) (* t a)))
6.4b
(* b (* c z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log
19×add-cbrt-cube
13×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
11×associate-*r*
10×distribute-rgt-in distribute-lft-in associate-*l*
9×add-cube-cbrt *-un-lft-identity
6×sub-neg associate-*r/
4×*-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 96
Calls
4 calls:
12.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
5.0ms
(* b (- (* i a)))
10.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* b (* c z))

series215.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
23.0ms
(* b (- (* i a)))
69.0ms
(* x (- (* y z) (* t a)))
24.0ms
(* b (* c z))

simplify70.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0543754
12365560
25002503

prune412.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.8b

regimes1.2s

Accuracy

35.6% (5.9b remaining)

Error of 9.4b against oracle of 3.6b and baseline of 12.7b

bsearch4.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08381
18981
29081
39081

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s19069×body80valid