Details

Time bar (total: 7.7s)

sample78.0ms

Algorithm
intervals
Results
42.0ms626×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: 10.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
3.7b
(* j (- (* c a) (* y i)))
4.8b
(* b (- (* c z) (* t i)))
5.7b
(* x (- (* y z) (* t a)))

rewrite24.0ms

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

series240.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* y z) (* t a))
67.0ms
(* j (- (* c a) (* y i)))
63.0ms
(* b (- (* c z) (* t i)))
70.0ms
(* x (- (* y z) (* t a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423552
11763485
25002485

prune406.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.1b

localize28.0ms

Local error

Found 4 expressions with local error:

5.2b
(cbrt (- (* c a) (* y i)))
5.2b
(cbrt (- (* c a) (* y i)))
5.2b
(cbrt (- (* c a) (* y i)))
5.7b
(* x (- (* y z) (* t a)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
3.0ms
(cbrt (- (* c a) (* y i)))
3.0ms
(cbrt (- (* c a) (* y i)))
3.0ms
(cbrt (- (* c a) (* y i)))
9.0ms
(* x (- (* y z) (* t a)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (- (* c a) (* y i)))
111.0ms
(cbrt (- (* c a) (* y i)))
117.0ms
(cbrt (- (* c a) (* y i)))
64.0ms
(* x (- (* y z) (* t a)))

simplify95.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0315590
11061543
23732525
35002519

prune454.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.1b

localize27.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
2.8b
(* (cbrt j) (- (* c a) (* y i)))
4.8b
(* b (- (* c z) (* t i)))
5.7b
(* x (- (* y z) (* t a)))

rewrite36.0ms

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

series494.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
268.0ms
(* (cbrt j) (- (* c a) (* y i)))
66.0ms
(* b (- (* c z) (* t i)))
63.0ms
(* x (- (* y z) (* t a)))

simplify76.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0574966
12600762
25003699

prune513.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.8b

localize38.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (cbrt j) (cbrt j)) (* (cbrt (* (cbrt j) (cbrt j))) (* (cbrt (cbrt j)) (- (* c a) (* y i)))))
2.1b
(* (cbrt (* (cbrt j) (cbrt j))) (* (cbrt (cbrt j)) (- (* c a) (* y i))))
4.8b
(* b (- (* c z) (* t i)))
5.7b
(* x (- (* y z) (* t a)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×distribute-rgt-in distribute-lft-in
34×pow1 add-exp-log
20×pow-prod-down prod-exp cbrt-unprod
19×add-cbrt-cube
16×sub-neg
14×associate-*r/
13×add-sqr-sqrt
11×associate-*l*
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
1×cbrt-prod
Counts
4 → 123
Calls
4 calls:
16.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt (* (cbrt j) (cbrt j))) (* (cbrt (cbrt j)) (- (* c a) (* y i)))))
10.0ms
(* (cbrt (* (cbrt j) (cbrt j))) (* (cbrt (cbrt j)) (- (* c a) (* y i))))
6.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* x (- (* y z) (* t a)))

series508.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt (* (cbrt j) (cbrt j))) (* (cbrt (cbrt j)) (- (* c a) (* y i)))))
273.0ms
(* (cbrt (* (cbrt j) (cbrt j))) (* (cbrt (cbrt j)) (- (* c a) (* y i))))
69.0ms
(* b (- (* c z) (* t i)))
70.0ms
(* x (- (* y z) (* t a)))

simplify81.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06851808
128831494
250021475

prune670.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.7b

regimes982.0ms

Accuracy

29.3% (4.5b remaining)

Error of 10.6b against oracle of 6.1b and baseline of 12.5b

bsearch172.0ms

Steps
ItersRangePoint
6
6.023936641661974e+123
7.534106071471108e+124
1.0086390222625704e+124
6
-4.197481993301807e+122
-4.0916575316509278e+121
-7.555370800446345e+121

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06250
16850
26850

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s19125×body80valid