Details

Time bar (total: 23.4s)

sample157.0ms

Algorithm
intervals
Results
85.0ms573×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (303.0ms)

IterNodesCost
02329
14729
211028
333328
490927
5281127
done500027

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c t) (* i y))
4.7b
(* x (- (* y z) (* t a)))
6.4b
(* b (- (* c z) (* i a)))
8.0b
(* j (- (* c t) (* i y)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
7×sub-neg prod-diff
6×associate-*r/ add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log
Counts
4 → 100
Calls
4 calls:
10.0ms
(- (* c t) (* i y))
39.0ms
(* x (- (* y z) (* t a)))
49.0ms
(* b (- (* c z) (* i a)))
46.0ms
(* j (- (* c t) (* i y)))

series384.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* c t) (* i y))
104.0ms
(* x (- (* y z) (* t a)))
138.0ms
(* b (- (* c z) (* i a)))
95.0ms
(* j (- (* c t) (* i y)))

simplify3.2s

Counts
112 → 112
Iterations

Useful iterations: 2 (255.0ms)

IterNodesCost
02001357
14761338
213641195
349981195
done50001195

prune657.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.6b

localize46.0ms

Local error

Found 4 expressions with local error:

4.7b
(* x (- (* y z) (* t a)))
5.5b
(* t (* j c))
6.0b
(* i (* j y))
6.4b
(* b (- (* c z) (* i a)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 96
Calls
4 calls:
52.0ms
(* x (- (* y z) (* t a)))
29.0ms
(* t (* j c))
31.0ms
(* i (* j y))
51.0ms
(* b (- (* c z) (* i a)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* x (- (* y z) (* t a)))
42.0ms
(* t (* j c))
34.0ms
(* i (* j y))
95.0ms
(* b (- (* c z) (* i a)))

simplify1.4s

Counts
108 → 108
Iterations

Useful iterations: 2 (247.0ms)

IterNodesCost
01961094
14691082
21454936
done5000936

prune706.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.5b

localize45.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* t j) c)
4.7b
(* x (- (* y z) (* t a)))
6.0b
(* i (* j y))
6.4b
(* b (- (* c z) (* i a)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 96
Calls
4 calls:
22.0ms
(* (* t j) c)
45.0ms
(* x (- (* y z) (* t a)))
21.0ms
(* i (* j y))
55.0ms
(* b (- (* c z) (* i a)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* t j) c)
99.0ms
(* x (- (* y z) (* t a)))
34.0ms
(* i (* j y))
107.0ms
(* b (- (* c z) (* i a)))

simplify1.4s

Counts
108 → 108
Iterations

Useful iterations: 2 (362.0ms)

IterNodesCost
01991097
14771083
21545937
done5000937

prune678.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.4b

localize56.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* t j) c)
4.7b
(* x (- (* y z) (* t a)))
5.0b
(* (* i j) y)
6.4b
(* b (- (* c z) (* i a)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×associate-*l* pow-prod-down prod-exp cbrt-unprod
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 96
Calls
4 calls:
22.0ms
(* (* t j) c)
49.0ms
(* x (- (* y z) (* t a)))
24.0ms
(* (* i j) y)
42.0ms
(* b (- (* c z) (* i a)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* t j) c)
104.0ms
(* x (- (* y z) (* t a)))
40.0ms
(* (* i j) y)
97.0ms
(* b (- (* c z) (* i a)))

simplify1.5s

Counts
108 → 108
Iterations

Useful iterations: 2 (323.0ms)

IterNodesCost
02011100
14841084
21642938
done5000938

prune649.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.4b

regimes1.5s

Accuracy

9.6% (8.5b remaining)

Error of 11.8b against oracle of 3.3b and baseline of 12.7b

bsearch1.2s

Steps
ItersRangePoint
10
2.610760928854144e+253
3.386644589850816e+269
2.6490666153897312e+253
9
-2.427745121287546e-254
-3.113888893808521e-261
-2.084139175117578e-260
7
-4.0504560254265596e-144
-1.3844680013122537e-145
-3.030521279964127e-144
7
-4.8089663841541e+98
-2.8520938882348484e+96
-3.778273061350026e+98

simplify32.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
065179
1109177
2136177
3137177
done137177

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.8s18917×body80valid