Details

Time bar (total: 7.2s)

sample78.0ms

Algorithm
intervals
Results
41.0ms644×body80valid

simplify75.0ms

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: 13.0b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* y z) (* t a))
3.8b
(* j (- (* c a) (* y i)))
4.9b
(* b (- (* c z) (* t i)))
7.4b
(* x (- (* y z) (* t a)))

rewrite39.0ms

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:
6.0ms
(- (* y z) (* t a))
10.0ms
(* j (- (* c a) (* y i)))
10.0ms
(* b (- (* c z) (* t i)))
10.0ms
(* x (- (* y z) (* t a)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* y z) (* t a))
65.0ms
(* j (- (* c a) (* y i)))
66.0ms
(* b (- (* c z) (* t i)))
69.0ms
(* x (- (* y z) (* t a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423552
11763485
25002485

prune362.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New752196
Fresh000
Picked101
Done000
Total762197

Merged error: 8.4b

Counts
97 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

5.6b
(cbrt (- (* c z) (* t i)))
5.6b
(cbrt (- (* c z) (* t i)))
5.6b
(cbrt (- (* c z) (* t i)))
7.4b
(* x (- (* y z) (* t a)))

rewrite20.0ms

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:
5.0ms
(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)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (- (* c z) (* t i)))
112.0ms
(cbrt (- (* c z) (* t i)))
115.0ms
(cbrt (- (* c z) (* t i)))
64.0ms
(* x (- (* y z) (* t a)))

simplify98.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0316590
11059543
23717525
35002519

prune399.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh02020
Picked101
Done000
Total752196

Merged error: 8.4b

Counts
96 → 21

localize24.0ms

Local error

Found 4 expressions with local error:

5.6b
(cbrt (* x (- (* y z) (* t a))))
7.4b
(* x (- (* y z) (* t a)))
7.4b
(* x (- (* y z) (* t a)))
7.4b
(* x (- (* y z) (* t a)))

rewrite25.0ms

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*
8×associate-*r/
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
4.0ms
(cbrt (* x (- (* y z) (* t a))))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* x (- (* y z) (* t a)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (* x (- (* y z) (* t a))))
104.0ms
(* x (- (* y z) (* t a)))
72.0ms
(* x (- (* y z) (* t a)))
67.0ms
(* x (- (* y z) (* t a)))

simplify135.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0257602
1923531
23487528
35002527

prune443.0ms

Filtered
95 candidates to 64 candidates (67.4%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New94195
Fresh02020
Picked101
Done000
Total9521116

Merged error: 8.4b

Counts
116 → 21

localize29.0ms

Local error

Found 4 expressions with local error:

5.6b
(cbrt (* x (- (* y z) (* t a))))
5.6b
(cbrt (* x (- (* y z) (* t a))))
7.4b
(* x (- (* y z) (* t a)))
7.4b
(* x (- (* y z) (* t a)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r/ add-cbrt-cube
6×associate-*r* associate-*l*
4×distribute-rgt-in sub-neg cbrt-div flip3-- distribute-lft-in flip-- add-log-exp
2×cbrt-prod pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 70
Calls
4 calls:
4.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* x (- (* y z) (* t a)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(cbrt (* x (- (* y z) (* t a))))
132.0ms
(cbrt (* x (- (* y z) (* t a))))
68.0ms
(* x (- (* y z) (* t a)))
67.0ms
(* x (- (* y z) (* t a)))

simplify91.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0257572
1923510
23487504
35002502

prune407.0ms

Filtered
82 candidates to 60 candidates (73.2%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh02020
Picked011
Done000
Total8221103

Merged error: 8.4b

Counts
103 → 21

regimes1.1s

Accuracy

-1.3% (4.0b remaining)

Error of 12.0b against oracle of 8.1b and baseline of 12.0b

bsearch210.0ms

Steps
ItersRangePoint
10
5.219216390956432e-196
1.4215515315860334e-184
8.476099776827794e-187
9
-7.631406994962456e-137
-2.0487105606360212e-143
-9.604262379034084e-142

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05329
15929
25929

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s18904×body80valid