Details

Time bar (total: 7.6s)

sample82.0ms

Algorithm
intervals
Results
36.0ms605×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: 9.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c a) (* y i))
4.2b
(* x (- (* y z) (* t a)))
4.4b
(* b (- (* c z) (* t i)))
5.0b
(* j (- (* c a) (* y i)))

rewrite90.0ms

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:
8.0ms
(- (* c a) (* y i))
26.0ms
(* x (- (* y z) (* t a)))
25.0ms
(* b (- (* c z) (* t i)))
29.0ms
(* j (- (* c a) (* y i)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* c a) (* y i))
63.0ms
(* x (- (* y z) (* t a)))
60.0ms
(* b (- (* c z) (* t i)))
63.0ms
(* j (- (* c a) (* y i)))

simplify55.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423552
11763485
25002485

prune396.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.9b

localize24.0ms

Local error

Found 4 expressions with local error:

5.0b
(* j (- (* c a) (* y i)))
5.7b
(cbrt (- (* c z) (* t i)))
5.7b
(cbrt (- (* c z) (* t i)))
5.7b
(cbrt (- (* c z) (* t i)))

rewrite45.0ms

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:
27.0ms
(* j (- (* c a) (* y i)))
5.0ms
(cbrt (- (* c z) (* t i)))
5.0ms
(cbrt (- (* c z) (* t i)))
6.0ms
(cbrt (- (* c z) (* t i)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* j (- (* c a) (* y i)))
104.0ms
(cbrt (- (* c z) (* t i)))
105.0ms
(cbrt (- (* c z) (* t i)))
104.0ms
(cbrt (- (* c z) (* t i)))

simplify96.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0314590
11050543
23712525
35001519

prune440.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.9b

localize29.0ms

Local error

Found 4 expressions with local error:

4.8b
(cbrt (* x (- (* y z) (* t a))))
4.8b
(cbrt (* x (- (* y z) (* t a))))
4.8b
(cbrt (* x (- (* y z) (* t a))))
5.0b
(* j (- (* c a) (* y i)))

rewrite60.0ms

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:
10.0ms
(cbrt (* x (- (* y z) (* t a))))
14.0ms
(cbrt (* x (- (* y z) (* t a))))
10.0ms
(cbrt (* x (- (* y z) (* t a))))
25.0ms
(* j (- (* c a) (* y i)))

series443.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (* x (- (* y z) (* t a))))
125.0ms
(cbrt (* x (- (* y z) (* t a))))
130.0ms
(cbrt (* x (- (* y z) (* t a))))
58.0ms
(* j (- (* c a) (* y i)))

simplify118.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0312542
11100489
24145480
35002477

prune436.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.9b

localize28.0ms

Local error

Found 4 expressions with local error:

4.8b
(cbrt (* x (- (* y z) (* t a))))
4.8b
(cbrt (* x (- (* y z) (* t a))))
4.8b
(cbrt (- (* y z) (* t a)))
5.0b
(* j (- (* c a) (* y i)))

rewrite55.0ms

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:
10.0ms
(cbrt (* x (- (* y z) (* t a))))
10.0ms
(cbrt (* x (- (* y z) (* t a))))
5.0ms
(cbrt (- (* y z) (* t a)))
28.0ms
(* j (- (* c a) (* y i)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(cbrt (* x (- (* y z) (* t a))))
131.0ms
(cbrt (* x (- (* y z) (* t a))))
108.0ms
(cbrt (- (* y z) (* t a)))
62.0ms
(* j (- (* c a) (* y i)))

simplify121.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0383558
11279507
24684493
35001493

prune418.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 6.9b

regimes1.2s

Accuracy

0% (3.9b remaining)

Error of 12.8b against oracle of 8.9b and baseline of 12.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04128
14128

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s18805×body80valid