Details

Time bar (total: 6.7s)

sample80.0ms

Algorithm
intervals
Results
43.0ms647×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: 11.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* i a))
4.0b
(* j (- (* c t) (* i y)))
4.8b
(* b (- (* c z) (* i a)))
5.9b
(* x (- (* y z) (* t a)))

rewrite23.0ms

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

series245.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* c z) (* i a))
65.0ms
(* j (- (* c t) (* i y)))
69.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune418.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.1b

localize25.0ms

Local error

Found 4 expressions with local error:

4.0b
(* j (- (* c t) (* i y)))
4.8b
(* b (- (* c z) (* i a)))
6.0b
(* x (- (* t a)))
6.2b
(* x (* y 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)))
6.0ms
(* b (- (* c z) (* i a)))
5.0ms
(* x (- (* t a)))
5.0ms
(* x (* y z))

series189.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* j (- (* c t) (* i y)))
64.0ms
(* b (- (* c z) (* i a)))
33.0ms
(* x (- (* t a)))
24.0ms
(* x (* y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0444484
12062419
25001419

prune461.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.3b

localize28.0ms

Local error

Found 4 expressions with local error:

3.9b
(* a (* x t))
4.0b
(* j (- (* c t) (* i y)))
4.8b
(* b (- (* c z) (* i a)))
6.2b
(* x (* y z))

rewrite24.0ms

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

series190.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* a (* x t))
71.0ms
(* j (- (* c t) (* i y)))
70.0ms
(* b (- (* c z) (* i a)))
25.0ms
(* x (* y z))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0440454
11806384
25001384

prune468.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(* a (* x t))
4.0b
(* j (- (* c t) (* i y)))
4.1b
(* (* x y) z)
4.8b
(* b (- (* c z) (* i a)))

rewrite28.0ms

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:
5.0ms
(* a (* x t))
9.0ms
(* j (- (* c t) (* i y)))
5.0ms
(* (* x y) z)
6.0ms
(* b (- (* c z) (* i a)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* a (* x t))
65.0ms
(* j (- (* c t) (* i y)))
28.0ms
(* (* x y) z)
65.0ms
(* b (- (* c z) (* i a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0447455
11960385
25001385

prune544.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.0b

regimes1.1s

Accuracy

22.8% (5.2b remaining)

Error of 10.8b against oracle of 5.6b and baseline of 12.3b

bsearch218.0ms

Steps
ItersRangePoint
4
1.051372784492825e+57
1.5512630602477145e+57
1.4419120624263323e+57
10
-7.2912379987297245e+47
-1.0994486427332274e+36
-1.0398945104776677e+41

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07870
110270
213270
313270

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s18975×body80valid