Details

Time bar (total: 7.6s)

sample85.0ms

Algorithm
intervals
Results
49.0ms619×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: 13.4b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* i a))
4.7b
(* x (- (* y z) (* t a)))
6.2b
(* b (- (* c z) (* i a)))
6.6b
(* j (- (* c t) (* i y)))

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:
3.0ms
(- (* c z) (* i a))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* c z) (* i a))
68.0ms
(* x (- (* y z) (* t a)))
68.0ms
(* b (- (* c z) (* i a)))
67.0ms
(* j (- (* c t) (* i y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0425552
11771485
25002485

prune408.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New732396
Fresh000
Picked101
Done000
Total742397

Merged error: 9.5b

Counts
97 → 23

localize31.0ms

Local error

Found 4 expressions with local error:

6.2b
(cbrt (* x (- (* y z) (* t a))))
6.2b
(cbrt (* x (- (* y z) (* t a))))
6.2b
(* b (- (* c z) (* i a)))
6.6b
(* j (- (* c t) (* i y)))

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:
5.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (* x (- (* y z) (* t a))))
140.0ms
(cbrt (* x (- (* y z) (* t a))))
63.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* j (- (* c t) (* i y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0437572
11640510
25001504

prune439.0ms

Filtered
82 candidates to 60 candidates (73.2%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New76682
Fresh22022
Picked101
Done000
Total7926105

Merged error: 9.5b

Counts
105 → 26

localize29.0ms

Local error

Found 4 expressions with local error:

6.2b
(cbrt (* x (- (* y z) (* t a))))
6.2b
(cbrt (* x (- (* y z) (* t a))))
6.2b
(* b (- (* c z) (* i a)))
6.6b
(* j (- (* c t) (* i y)))

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

series408.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (* x (- (* y z) (* t a))))
135.0ms
(cbrt (* x (- (* y z) (* t a))))
67.0ms
(* b (- (* c z) (* i a)))
66.0ms
(* j (- (* c t) (* i y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0437572
11640510
25001504

prune494.0ms

Filtered
82 candidates to 60 candidates (73.2%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh12425
Picked101
Done000
Total8226108

Merged error: 9.5b

Counts
108 → 26

localize25.0ms

Local error

Found 4 expressions with local error:

5.5b
(cbrt (- (* y z) (* t a)))
5.5b
(cbrt (- (* y z) (* t a)))
6.2b
(* b (- (* c z) (* i a)))
6.6b
(* j (- (* c t) (* i y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log add-cbrt-cube
6×cbrt-prod associate-*r* associate-*l*
4×distribute-rgt-in sub-neg cbrt-div flip3-- distribute-lft-in associate-*r/ flip-- add-log-exp
2×pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 74
Calls
4 calls:
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (- (* y z) (* t a)))
116.0ms
(cbrt (- (* y z) (* t a)))
69.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* j (- (* c t) (* i y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0437604
11596546
25002534

prune351.0ms

Filtered
86 candidates to 64 candidates (74.4%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh32225
Picked101
Done000
Total8824112

Merged error: 9.5b

Counts
112 → 24

regimes1.2s

Accuracy

-19.3% (4.7b remaining)

Error of 13.1b against oracle of 8.4b and baseline of 12.3b

bsearch235.0ms

Steps
ItersRangePoint
9
3.386453936270534e-158
2.3748018584447063e-151
1.445902514550727e-154
9
-9.013628390382275e-87
-1.253629543088703e-91
-1.2729245771327152e-91

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06267
16267

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19064×body80valid

Profiling

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