Details

Time bar (total: 29.1s)

sample164.0ms

Algorithm
intervals
Results
100.0ms638×body80valid

simplify3.0s

Counts
1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize59.0ms

Local error

Found 4 expressions with local error:

6.0b
(* j (- (* c t) (* i y)))
4.8b
(* x (- (* y z) (* t a)))
4.4b
(* b (- (* c z) (* i a)))
0.2b
(- (* c t) (* i y))

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
associate-*r* associate-*l*
sub-neg
distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
flip3-- insert-posit16 flip--
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
diff-log
Counts
4 → 88
Calls
4 calls:
Slowest
35.0ms
(* j (- (* c t) (* i y)))
33.0ms
(* x (- (* y z) (* t a)))
33.0ms
(* b (- (* c z) (* i a)))
11.0ms
(- (* c t) (* i y))

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
101.0ms
(* j (- (* c t) (* i y)))
95.0ms
(* b (- (* c z) (* i a)))
89.0ms
(* x (- (* y z) (* t a)))
57.0ms
(- (* c t) (* i y))

simplify1.6s

Counts
100 → 100

prune1.7s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.2b

localize60.0ms

Local error

Found 4 expressions with local error:

6.2b
(cbrt (- (* y z) (* t a)))
6.2b
(cbrt (- (* y z) (* t a)))
6.2b
(cbrt (- (* y z) (* t a)))
6.0b
(* j (- (* c t) (* i y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
cbrt-prod *-un-lft-identity add-cube-cbrt
pow1 cbrt-div add-cbrt-cube add-exp-log
flip3-- insert-posit16 flip-- add-log-exp
pow1/3 associate-*r* associate-*l*
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
Slowest
28.0ms
(* j (- (* c t) (* i y)))
7.0ms
(cbrt (- (* y z) (* t a)))
6.0ms
(cbrt (- (* y z) (* t a)))
5.0ms
(cbrt (- (* y z) (* t a)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(cbrt (- (* y z) (* t a)))
145.0ms
(cbrt (- (* y z) (* t a)))
141.0ms
(cbrt (- (* y z) (* t a)))
79.0ms
(* j (- (* c t) (* i y)))

simplify954.0ms

Counts
79 → 79

prune1.7s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 6.2b

localize71.0ms

Local error

Found 4 expressions with local error:

6.0b
(* j (- (* c t) (* i y)))
4.4b
(* b (- (* c z) (* i a)))
2.7b
(* (cbrt x) (- (* y z) (* t a)))
2.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-sqr-sqrt
15×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
13×associate-*l*
11×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
10×sub-neg associate-*r* associate-*r/
cbrt-prod flip3-- *-commutative insert-posit16 flip-- add-log-exp unswap-sqr
Counts
4 → 112
Calls
4 calls:
Slowest
65.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
37.0ms
(* j (- (* c t) (* i y)))
36.0ms
(* b (- (* c z) (* i a)))
34.0ms
(* (cbrt x) (- (* y z) (* t a)))

series724.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
381.0ms
(* (cbrt x) (- (* y z) (* t a)))
125.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
109.0ms
(* j (- (* c t) (* i y)))
108.0ms
(* b (- (* c z) (* i a)))

simplify787.0ms

Counts
124 → 124

prune2.9s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.7b

localize69.0ms

Local error

Found 4 expressions with local error:

6.5b
(* x (* z y))
6.0b
(* j (- (* c t) (* i y)))
5.5b
(* a (* x t))
4.4b
(* b (- (* c z) (* i a)))

rewrite97.0ms

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
associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative insert-posit16 add-log-exp
flip3-- flip-- unswap-sqr
Counts
4 → 88
Calls
4 calls:
Slowest
27.0ms
(* a (* x t))
26.0ms
(* j (- (* c t) (* i y)))
23.0ms
(* b (- (* c z) (* i a)))
19.0ms
(* x (* z y))

series289.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
107.0ms
(* j (- (* c t) (* i y)))
102.0ms
(* b (- (* c z) (* i a)))
40.0ms
(* x (* z y))
39.0ms
(* a (* x t))

simplify2.1s

Counts
100 → 100

prune2.0s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.2b

regimes2.9s

Accuracy

1.3% (6.0b remaining)

Error of 11.7b against oracle of 5.7b and baseline of 11.8b

bsearch347.0ms

end0.0ms

sample6.4s

Algorithm
intervals
Results
5.0s18974×body80valid