Details

Time bar (total: 20.0s)

sample140.0ms

Algorithm
intervals
Results
70.0ms573×body80valid

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done5000
4953
3290
296
143
023

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* y z) (* t a))
4.7b
(* b (- (* c z) (* t i)))
5.2b
(* j (- (* c a) (* y i)))
6.3b
(* x (- (* y z) (* t a)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
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:
11.0ms
(- (* y z) (* t a))
34.0ms
(* b (- (* c z) (* t i)))
30.0ms
(* j (- (* c a) (* y i)))
35.0ms
(* x (- (* y z) (* t a)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* y z) (* t a))
109.0ms
(* b (- (* c z) (* t i)))
91.0ms
(* j (- (* c a) (* y i)))
104.0ms
(* x (- (* y z) (* t a)))

simplify850.0ms

Counts
96 → 96
Iterations
IterNodes
done5000
21805
1458
0166

prune970.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize84.0ms

Local error

Found 4 expressions with local error:

4.7b
(* b (- (* c z) (* t i)))
4.9b
(* a (* (- x) t))
5.2b
(* j (- (* c a) (* y i)))
6.2b
(* y (* x z))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×associate-*l*
10×*-un-lft-identity add-cube-cbrt
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 85
Calls
4 calls:
21.0ms
(* b (- (* c z) (* t i)))
19.0ms
(* a (* (- x) t))
23.0ms
(* j (- (* c a) (* y i)))
12.0ms
(* y (* x z))

series228.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* b (- (* c z) (* t i)))
29.0ms
(* a (* (- x) t))
77.0ms
(* j (- (* c a) (* y i)))
28.0ms
(* y (* x z))

simplify849.0ms

Counts
97 → 97
Iterations
IterNodes
done5000
21898
1488
0181

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize58.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (* a (- x)) t)
4.7b
(* b (- (* c z) (* t i)))
5.2b
(* j (- (* c a) (* y i)))
6.2b
(* y (* x z))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
8×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 85
Calls
4 calls:
32.0ms
(* (* a (- x)) t)
40.0ms
(* b (- (* c z) (* t i)))
49.0ms
(* j (- (* c a) (* y i)))
24.0ms
(* y (* x z))

series316.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* a (- x)) t)
113.0ms
(* b (- (* c z) (* t i)))
124.0ms
(* j (- (* c a) (* y i)))
49.0ms
(* y (* x z))

simplify1.1s

Counts
97 → 97
Iterations
IterNodes
done5001
22240
1498
0183

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize124.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (cbrt t) (* (- a) x))
4.7b
(* b (- (* c z) (* t i)))
5.2b
(* j (- (* c a) (* y i)))
6.2b
(* y (* x z))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
16×add-cbrt-cube
15×add-sqr-sqrt associate-*l*
11×*-un-lft-identity add-cube-cbrt
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×cbrt-prod
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
32.0ms
(* (cbrt t) (* (- a) x))
39.0ms
(* b (- (* c z) (* t i)))
47.0ms
(* j (- (* c a) (* y i)))
18.0ms
(* y (* x z))

series409.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt t) (* (- a) x))
91.0ms
(* b (- (* c z) (* t i)))
109.0ms
(* j (- (* c a) (* y i)))
51.0ms
(* y (* x z))

simplify824.0ms

Counts
100 → 100
Iterations
IterNodes
done5001
22023
1515
0189

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

regimes2.5s

Accuracy

12.7% (10.3b remaining)

Error of 11.1b against oracle of 0.7b and baseline of 12.6b

bsearch1.2s

Steps
ItersRangePoint
8
3.302654228901408e-41
1.1551784022581515e-38
2.7188552566539062e-39
7
7.458221977210408e-195
2.237897131580607e-193
1.0958608121576436e-193
7
-5.065511350746666e-32
-7.471681000582083e-34
-3.0214741171927164e-33
8
-3.7541798731011713e+46
-6.499354134947939e+42
-1.145856424711549e+44
5
-2.1138014199511102e+164
-8.359997395955168e+163
-8.484491448467914e+163

simplify82.0ms

Iterations
IterNodes
done220
7220
6219
5214
4203
3185
2162
1129
077

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.5s19221×body80valid