Details

Time bar (total: 8.3s)

sample82.0ms

Algorithm
intervals
Results
38.0ms617×body80valid

simplify84.0ms

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: 12.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* c a) (* y i))
5.2b
(* b (- (* c z) (* t i)))
5.4b
(* x (- (* y z) (* t a)))
6.1b
(* j (- (* c a) (* y i)))

rewrite93.0ms

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:
9.0ms
(- (* c a) (* y i))
26.0ms
(* b (- (* c z) (* t i)))
26.0ms
(* x (- (* y z) (* t a)))
29.0ms
(* j (- (* c a) (* y i)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* c a) (* y i))
71.0ms
(* b (- (* c z) (* t i)))
73.0ms
(* x (- (* y z) (* t a)))
69.0ms
(* j (- (* c a) (* y i)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423552
11763485
25002485

prune399.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.0b

localize30.0ms

Local error

Found 4 expressions with local error:

6.1b
(* j (- (* c a) (* y i)))
7.5b
(cbrt (* b (- (* c z) (* t i))))
7.5b
(cbrt (* b (- (* c z) (* t i))))
7.5b
(cbrt (* b (- (* c z) (* t i))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
30.0ms
(* j (- (* c a) (* y i)))
10.0ms
(cbrt (* b (- (* c z) (* t i))))
11.0ms
(cbrt (* b (- (* c z) (* t i))))
11.0ms
(cbrt (* b (- (* c z) (* t i))))

series720.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* j (- (* c a) (* y i)))
346.0ms
(cbrt (* b (- (* c z) (* t i))))
154.0ms
(cbrt (* b (- (* c z) (* t i))))
148.0ms
(cbrt (* b (- (* c z) (* t i))))

simplify112.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0312542
11097489
24133480
35001477

prune408.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.0b

localize33.0ms

Local error

Found 4 expressions with local error:

6.1b
(* j (- (* c a) (* y i)))
7.3b
(cbrt (- (* c z) (* t i)))
7.5b
(cbrt (* b (- (* c z) (* t i))))
7.5b
(cbrt (* b (- (* c z) (* t i))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×cbrt-prod
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
26.0ms
(* j (- (* c a) (* y i)))
6.0ms
(cbrt (- (* c z) (* t i)))
10.0ms
(cbrt (* b (- (* c z) (* t i))))
10.0ms
(cbrt (* b (- (* c z) (* t i))))

series485.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* j (- (* c a) (* y i)))
124.0ms
(cbrt (- (* c z) (* t i)))
146.0ms
(cbrt (* b (- (* c z) (* t i))))
147.0ms
(cbrt (* b (- (* c z) (* t i))))

simplify114.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0386558
11278507
24652493
35001493

prune479.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.0b

localize27.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.4b
(* (cbrt x) (- (* y z) (* t a)))
5.2b
(* b (- (* c z) (* t i)))
6.1b
(* j (- (* c a) (* y i)))

rewrite149.0ms

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:
62.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
28.0ms
(* (cbrt x) (- (* y z) (* t a)))
30.0ms
(* b (- (* c z) (* t i)))
27.0ms
(* j (- (* c a) (* y i)))

series569.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
321.0ms
(* (cbrt x) (- (* y z) (* t a)))
69.0ms
(* b (- (* c z) (* t i)))
69.0ms
(* j (- (* c a) (* y i)))

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0569968
12528762
25001699

prune392.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 9.0b

regimes1.1s

Accuracy

7.1% (3.6b remaining)

Error of 12.2b against oracle of 8.6b and baseline of 12.5b

bsearch153.0ms

Steps
ItersRangePoint
8
2.0508766816077756e-204
7.051891955506147e-202
3.850850789495975e-202
6
-3.4947531833918314e-239
-5.236696606551999e-240
-7.590287677643962e-240

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
16368
26368

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s19136×body80valid