Details

Time bar (total: 6.4s)

sample75.0ms

Algorithm
intervals
Results
39.0ms625×body80valid

simplify83.0ms

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: 14.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
4.7b
(* b (- (* c z) (* t i)))
6.0b
(* j (- (* c a) (* y i)))
6.1b
(* x (- (* y z) (* t a)))

rewrite36.0ms

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:
2.0ms
(- (* y z) (* t a))
10.0ms
(* b (- (* c z) (* t i)))
10.0ms
(* j (- (* c a) (* y i)))
12.0ms
(* x (- (* y z) (* t a)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* y z) (* t a))
67.0ms
(* b (- (* c z) (* t i)))
64.0ms
(* j (- (* c a) (* y i)))
69.0ms
(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0423552
11763485
25002485

prune436.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.5b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b
(* b (- (* c z) (* t i)))
5.2b
(* j (- (* y i)))
6.1b
(* x (- (* y z) (* t a)))
6.2b
(* j (* c a))

rewrite34.0ms

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:
10.0ms
(* b (- (* c z) (* t i)))
5.0ms
(* j (- (* y i)))
11.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (* c a))

series182.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* b (- (* c z) (* t i)))
25.0ms
(* j (- (* y i)))
67.0ms
(* x (- (* y z) (* t a)))
23.0ms
(* j (* c a))

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0443484
12066419
25002419

prune454.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.3b

localize24.0ms

Local error

Found 4 expressions with local error:

4.7b
(* b (- (* c z) (* t i)))
5.7b
(* i (* j y))
6.1b
(* x (- (* y z) (* t a)))
6.2b
(* j (* c a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×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
2×flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
10.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* i (* j y))
9.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (* c a))

series187.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* b (- (* c z) (* t i)))
24.0ms
(* i (* j y))
69.0ms
(* x (- (* y z) (* t a)))
27.0ms
(* j (* c a))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0440454
11812384
25001384

prune438.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.3b

localize25.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (* j c) a)
4.7b
(* b (- (* c z) (* t i)))
5.7b
(* i (* j y))
6.1b
(* x (- (* y z) (* t 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×flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
6.0ms
(* (* j c) a)
9.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* i (* j y))
10.0ms
(* x (- (* y z) (* t a)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* j c) a)
67.0ms
(* b (- (* c z) (* t i)))
24.0ms
(* i (* j y))
69.0ms
(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0446455
11937385
25001385

prune354.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.0b

regimes1.2s

Accuracy

23.8% (5.2b remaining)

Error of 10.7b against oracle of 5.6b and baseline of 12.4b

bsearch148.0ms

Steps
ItersRangePoint
4
7.98146136053918e+46
1.4510048675568196e+47
8.341532197467679e+46
7
-2.140902770688202e-162
-1.571699167623759e-164
-6.38829755749128e-164

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06837
18037
28937
38937

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s19022×body80valid