Details

Time bar (total: 6.8s)

sample111.0ms

Algorithm
intervals
Results
52.0ms632×body80valid

simplify81.0ms

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: 11.3b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
3.5b
(* b (- (* c z) (* i a)))
5.2b
(* x (- (* y z) (* t a)))
5.6b
(* j (- (* c t) (* i y)))

rewrite23.0ms

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

series66.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* y z) (* t a))
19.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* j (- (* c t) (* i y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune253.0ms

Filtered
96 candidates to 63 candidates (34.4%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New732396
Fresh000
Picked101
Done000
Total742397

Merged error: 7.6b

Counts
97 → 23

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b
(* b (- (* c z) (* i a)))
5.2b
(* x (* y z))
5.6b
(* j (- (* c t) (* i y)))
7.0b
(* x (neg (* t a)))

rewrite24.0ms

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

series50.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (* y z))
19.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* x (neg (* t a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0444484
12062419
25001419

prune206.0ms

Filtered
100 candidates to 70 candidates (30.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh71522
Picked101
Done000
Total10419123

Merged error: 5.3b

Counts
123 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b
(* b (- (* c z) (* i a)))
3.8b
(* (* x y) z)
5.6b
(* j (- (* c t) (* i y)))
7.0b
(* 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
(* b (- (* c z) (* i a)))
4.0ms
(* (* x y) z)
5.0ms
(* j (- (* c t) (* i y)))
4.0ms
(* x (neg (* t a)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* (* x y) z)
21.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* x (neg (* t a)))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0454485
12221420
25001420

prune198.0ms

Filtered
100 candidates to 69 candidates (31.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh11718
Picked101
Done000
Total10019119

Merged error: 4.6b

Counts
119 → 19

localize25.0ms

Local error

Found 4 expressions with local error:

5.2b
(* x (- (* y z) (* t a)))
7.0b
(cbrt (- (* c t) (* i y)))
7.0b
(cbrt (- (* c t) (* i y)))
7.0b
(cbrt (- (* c t) (* i y)))

rewrite16.0ms

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

series136.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (- (* y z) (* t a)))
38.0ms
(cbrt (- (* c t) (* i y)))
40.0ms
(cbrt (- (* c t) (* i y)))
39.0ms
(cbrt (- (* c t) (* i y)))

simplify105.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0314602
11079555
23847543
35001534

prune87.0ms

Filtered
75 candidates to 59 candidates (21.3%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh21618
Picked011
Done000
Total751994

Merged error: 4.6b

Counts
94 → 19

regimes1.9s

Accuracy

17.2% (5.3b remaining)

Error of 11.2b against oracle of 5.9b and baseline of 12.2b

bsearch122.0ms

Steps
ItersRangePoint
8
1.503069749538069e-95
7.067673257301745e-91
8.557997622085423e-92
9
-2.189515964744454e-180
-1.9973067224966793e-186
-8.224467586101871e-181

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06241
17041
27441
37441

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s19258×body80valid

Profiling

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