Details

Time bar (total: 7.1s)

sample105.0ms

Algorithm
intervals
Results
49.0ms593×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.4b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* c z) (* t i))
3.6b
(* b (- (* c z) (* t i)))
4.7b
(* x (- (* y z) (* t a)))
5.3b
(* j (- (* c a) (* y i)))

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) (* t i))
5.0ms
(* b (- (* c z) (* t i)))
5.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* j (- (* c a) (* y i)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c z) (* t i))
18.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* j (- (* c a) (* y i)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0422552
11762485
25001485

prune270.0ms

Filtered
96 candidates to 63 candidates (34.4%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New722496
Fresh000
Picked101
Done000
Total732497

Merged error: 7.4b

Counts
97 → 24

localize26.0ms

Local error

Found 4 expressions with local error:

3.6b
(* b (- (* c z) (* t i)))
3.7b
(* x (* y z))
5.3b
(* j (- (* c a) (* y i)))
6.8b
(* x (neg (* t a)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
6.0ms
(* b (- (* c z) (* t i)))
4.0ms
(* x (* y z))
5.0ms
(* j (- (* c a) (* y i)))
5.0ms
(* x (neg (* t a)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* x (* y z))
18.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (neg (* t a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0442484
12052419
25001419

prune221.0ms

Filtered
100 candidates to 70 candidates (30.0%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh61723
Picked101
Done000
Total10321124

Merged error: 5.2b

Counts
124 → 21

localize24.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* x y) z)
3.6b
(* b (- (* c z) (* t i)))
5.3b
(* j (- (* c a) (* y i)))
6.8b
(* x (neg (* t a)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log associate-*r* add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
5.0ms
(* (* x y) z)
5.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* j (- (* c a) (* y i)))
5.0ms
(* x (neg (* t a)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* x y) z)
18.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (neg (* t a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0452485
12211420
25002420

prune214.0ms

Filtered
100 candidates to 69 candidates (31.0%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh02020
Picked011
Done000
Total9922121

Merged error: 5.0b

Counts
121 → 22

localize24.0ms

Local error

Found 4 expressions with local error:

3.9b
(* b (* c z))
4.1b
(* b (neg (* t i)))
4.7b
(* x (- (* y z) (* t a)))
5.3b
(* j (- (* c a) (* y i)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
4.0ms
(* b (* c z))
4.0ms
(* b (neg (* t i)))
5.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c a) (* y i)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* b (* c z))
6.0ms
(* b (neg (* t i)))
18.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* j (- (* c a) (* y i)))

simplify59.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0445484
12073419
25002419

prune91.0ms

Filtered
100 candidates to 67 candidates (33.0%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh41620
Picked101
Done011
Total10220122

Merged error: 3.7b

Counts
122 → 20

regimes2.0s

Accuracy

13.2% (7.3b remaining)

Error of 11.5b against oracle of 4.2b and baseline of 12.6b

bsearch269.0ms

Steps
ItersRangePoint
5
2.9749174343594204e-149
6.132490985777198e-149
6.068538256678168e-149
8
-2.835336704377066e-136
-9.962397082168145e-139
-2.259347173688731e-136
6
-4.0561071389212837e-29
-2.6359338391921302e-30
-3.9600238531819886e-30
8
-5.670029942895153e+93
-1.5219280806672351e+91
-1.7910221090440428e+93

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09080
110980
211480
311480

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s19228×body80valid

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