Details

Time bar (total: 7.6s)

sample92.0ms

Algorithm
intervals
Results
54.0ms682×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
5.1b
(* j (- (* c a) (* y i)))
5.3b
(* b (- (* c z) (* t i)))
7.0b
(* x (- (* y z) (* t a)))

rewrite26.0ms

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

series238.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* y z) (* t a))
66.0ms
(* j (- (* c a) (* y i)))
70.0ms
(* b (- (* c z) (* t i)))
66.0ms
(* x (- (* y z) (* t a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423552
11763485
25002485

prune393.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New762096
Fresh000
Picked101
Done000
Total772097

Merged error: 8.8b

Counts
97 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

5.4b
(cbrt (* b (- (* c z) (* t i))))
5.4b
(cbrt (* b (- (* c z) (* t i))))
5.4b
(cbrt (* b (- (* c z) (* t i))))
7.0b
(* x (- (* y z) (* t a)))

rewrite24.0ms

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:
5.0ms
(cbrt (* b (- (* c z) (* t i))))
5.0ms
(cbrt (* b (- (* c z) (* t i))))
8.0ms
(cbrt (* b (- (* c z) (* t i))))
6.0ms
(* x (- (* y z) (* t a)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (* b (- (* c z) (* t i))))
129.0ms
(cbrt (* b (- (* c z) (* t i))))
134.0ms
(cbrt (* b (- (* c z) (* t i))))
63.0ms
(* x (- (* y z) (* t a)))

simplify101.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0314542
11106489
24138480
35001477

prune372.0ms

Filtered
69 candidates to 56 candidates (81.2%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New68169
Fresh01919
Picked101
Done000
Total692089

Merged error: 8.8b

Counts
89 → 20

localize28.0ms

Local error

Found 4 expressions with local error:

6.9b
(cbrt (- (* c z) (* t i)))
6.9b
(cbrt (- (* c z) (* t i)))
6.9b
(cbrt (- (* c z) (* t i)))
7.0b
(* x (- (* y z) (* t a)))

rewrite17.0ms

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 z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))
6.0ms
(* x (- (* y z) (* t a)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(cbrt (- (* c z) (* t i)))
113.0ms
(cbrt (- (* c z) (* t i)))
113.0ms
(cbrt (- (* c z) (* t i)))
69.0ms
(* x (- (* y z) (* t a)))

simplify103.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0316590
11059543
23717525
35002519

prune405.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh01919
Picked101
Done000
Total752095

Merged error: 8.8b

Counts
95 → 20

localize30.0ms

Local error

Found 4 expressions with local error:

6.8b
(cbrt (- (* c a) (* y i)))
6.8b
(cbrt (- (* c a) (* y i)))
6.8b
(cbrt (- (* c a) (* y i)))
7.0b
(* x (- (* y z) (* t a)))

rewrite17.0ms

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)))
6.0ms
(* x (- (* y z) (* t a)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (- (* c a) (* y i)))
112.0ms
(cbrt (- (* c a) (* y i)))
116.0ms
(cbrt (- (* c a) (* y i)))
64.0ms
(* x (- (* y z) (* t a)))

simplify96.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0315590
11061543
23732525
35002519

prune313.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh01919
Picked011
Done000
Total742195

Merged error: 8.8b

Counts
95 → 21

regimes1.1s

Accuracy

1% (4.1b remaining)

Error of 12.9b against oracle of 8.8b and baseline of 13.0b

bsearch235.0ms

Steps
ItersRangePoint
9
1.4449062485317225e-258
2.472274216183501e-253
1.1940599170816136e-257
10
-1.3229402802384459e-123
-1.0426445080516247e-134
-5.1119380804537506e-129

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05652
16052
26052

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.7s19075×body80valid