Details

Time bar (total: 23.6s)

sample140.0ms

Algorithm
intervals
Results
76.0ms601×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (581.0ms)

IterNodesCost
02329
14729
211028
333328
4123027
done500027

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* y z) (* t a))
3.0b
(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
4.1b
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
4.3b
(* j (- (* c t) (* i y)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-in sub-neg distribute-lft-in associate-*r* associate-*l* prod-diff
2×flip3-- associate-*r/ flip-- fma-udef
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
14.0ms
(- (* y z) (* t a))
0.0ms
(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
1.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
58.0ms
(* j (- (* c t) (* i y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* y z) (* t a))
306.0ms
(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
779.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
116.0ms
(* j (- (* c t) (* i y)))

simplify766.0ms

Counts
76 → 76
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
01371239
13421223
212601077
done50001071

prune534.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.0b

localize40.0ms

Local error

Found 4 expressions with local error:

4.1b
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y))))))
6.5b
(cbrt (- (* c t) (* i y)))
6.5b
(cbrt (- (* c t) (* i y)))
6.5b
(cbrt (- (* c t) (* i y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
1×fma-udef
Counts
4 → 55
Calls
4 calls:
0.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y))))))
6.0ms
(cbrt (- (* c t) (* i y)))
6.0ms
(cbrt (- (* c t) (* i y)))
22.0ms
(cbrt (- (* c t) (* i y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
843.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y))))))
199.0ms
(cbrt (- (* c t) (* i y)))
195.0ms
(cbrt (- (* c t) (* i y)))
223.0ms
(cbrt (- (* c t) (* i y)))

simplify1.4s

Counts
67 → 67
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01061448
12631407
27061102
321671048
done50001006

prune619.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.1b

localize56.0ms

Local error

Found 4 expressions with local error:

4.3b
(* j (- (* c t) (* i y)))
6.6b
(cbrt (- (* y z) (* t a)))
6.6b
(cbrt (- (* y z) (* t a)))
6.6b
(cbrt (- (* y z) (* t a)))

rewrite78.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l*
2×sub-neg associate-*r/ prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 73
Calls
4 calls:
43.0ms
(* j (- (* c t) (* i y)))
10.0ms
(cbrt (- (* y z) (* t a)))
12.0ms
(cbrt (- (* y z) (* t a)))
11.0ms
(cbrt (- (* y z) (* t a)))

series684.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* j (- (* c t) (* i y)))
203.0ms
(cbrt (- (* y z) (* t a)))
221.0ms
(cbrt (- (* y z) (* t a)))
167.0ms
(cbrt (- (* y z) (* t a)))

simplify2.6s

Counts
85 → 85
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01351225
13531183
211681093
347251065
done50001065

prune695.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.1b

localize66.0ms

Local error

Found 4 expressions with local error:

6.5b
(cbrt (- (* c t) (* i y)))
6.5b
(cbrt (- (* c t) (* i y)))
6.5b
(cbrt (- (* c t) (* i y)))
6.5b
(cbrt (- (* c t) (* i y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
12.0ms
(cbrt (- (* c t) (* i y)))
30.0ms
(cbrt (- (* c t) (* i y)))
12.0ms
(cbrt (- (* c t) (* i y)))
13.0ms
(cbrt (- (* c t) (* i y)))

series827.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt (- (* c t) (* i y)))
206.0ms
(cbrt (- (* c t) (* i y)))
244.0ms
(cbrt (- (* c t) (* i y)))
200.0ms
(cbrt (- (* c t) (* i y)))

simplify1.3s

Counts
72 → 72
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0721120
11911068
25381000
31672968
done5000912

prune811.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 3.1b

regimes1.4s

Accuracy

8.9% (7.4b remaining)

Error of 12.0b against oracle of 4.6b and baseline of 12.7b

bsearch462.0ms

Steps
ItersRangePoint
9
1.8999186278185568e+86
2.4848176706062298e+94
1.4876741125369421e+91
9
-2.0772808780290205e+114
-1.0661195059131775e+109
-2.0561752017486758e+114

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044113
160113
done60113

end0.0ms

sample5.9s

Algorithm
intervals
Results
4.0s19000×body80valid