Details

Time bar (total: 6.5s)

sample104.0ms

Algorithm
intervals
Results
48.0ms586×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.7b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c t) (* i y))
4.0b
(* b (- (* c z) (* i a)))
4.4b
(* x (- (* y z) (* t a)))
4.6b
(* j (- (* c t) (* i y)))

rewrite21.0ms

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

series65.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c t) (* i y))
18.0ms
(* b (- (* c z) (* i a)))
20.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* j (- (* c t) (* i y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0424552
11770485
25001485

prune227.0ms

Filtered
63 candidates to 96 candidates (-52.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New762096
Fresh000
Picked101
Done000
Total772097

Merged error: 7.4b

Counts
97 → 20

localize23.0ms

Local error

Found 4 expressions with local error:

4.4b
(* b (* c z))
4.4b
(* x (- (* y z) (* t a)))
4.6b
(* b (neg (* i a)))
4.6b
(* j (- (* c t) (* i y)))

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

series46.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0445484
12066419
25002419

prune204.0ms

Filtered
67 candidates to 100 candidates (-49.3%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh41519
Picked101
Done000
Total10119120

Merged error: 5.8b

Counts
120 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

3.4b
(* x (* y z))
4.0b
(* b (- (* c z) (* i a)))
4.6b
(* j (- (* c t) (* i y)))
4.7b
(* 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:
4.0ms
(* x (* y z))
5.0ms
(* b (- (* c z) (* i a)))
7.0ms
(* j (- (* c t) (* i y)))
5.0ms
(* x (neg (* t a)))

series48.0ms

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

prune192.0ms

Filtered
70 candidates to 100 candidates (-42.9%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh41418
Picked101
Done000
Total10217119

Merged error: 3.4b

Counts
119 → 17

localize22.0ms

Local error

Found 4 expressions with local error:

4.0b
(* b (- (* c z) (* i a)))
4.6b
(* j (- (* c t) (* i y)))
4.7b
(* x (neg (* t a)))
5.1b
(* (* x y) z)

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

series49.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* b (- (* c z) (* i a)))
20.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* x (neg (* t a)))
6.0ms
(* (* x y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0454485
12221420
25002420

prune89.0ms

Filtered
69 candidates to 100 candidates (-44.9%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh01616
Picked101
Done000
Total9918117

Merged error: 3.1b

Counts
117 → 18

regimes1.8s

Accuracy

-11% (9.3b remaining)

Error of 13.4b against oracle of 4.1b and baseline of 12.5b

bsearch76.0ms

Steps
ItersRangePoint
4
8.856751251385259e-104
1.4783728797219856e-103
8.985379572282763e-104
7
-5.614996738201304e-107
-6.7230457323849195e-109
-1.6304215812236125e-108

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07845
19445
29545
39545

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s19224×body80valid

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