Details

Time bar (total: 42.1s)

sample51.0ms

Algorithm
intervals
Results
22.0ms354×body80valid

simplify187.0ms

Counts
1 → 1
Iterations
IterNodes
done131
6131
5129
4117
378
236
116
08

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) y)
8.1b
(* (* (- x z) y) t)

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×associate-*r* associate-*l* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
2.2s
(* (- x z) y)
71.0ms
(* (* (- x z) y) t)

series242.0ms

Counts
2 → 6
Calls
2 calls:
154.0ms
(* (- x z) y)
85.0ms
(* (* (- x z) y) t)

simplify13.4s

Counts
52 → 52
Iterations
IterNodes
done5003
32644
2631
1199
081

prune819.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

6.6b
(* (- x z) (* y t))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/
1×expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
312.0ms
(* (- x z) (* y t))

series235.0ms

Counts
1 → 3
Calls
1 calls:
234.0ms
(* (- x z) (* y t))

simplify3.0s

Counts
27 → 27
Iterations
IterNodes
done5001
31814
2478
1152
058

prune212.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x z))
7.2b
(* y (* t (- x z)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
52.0ms
(* t (- x z))
78.0ms
(* y (* t (- x z)))

series166.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(* t (- x z))
75.0ms
(* y (* t (- x z)))

simplify10.2s

Counts
118 → 118
Iterations
IterNodes
done5000
34051
21049
1472
0189

prune463.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
4.6b
(* (* t y) z)
4.6b
(* (* t y) z)
6.6b
(* (- (* (cbrt x) (* (cbrt x) (cbrt x))) z) (* t y))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod *-commutative
2×associate-*l/
1×flip3-- pow1/3 flip--
Counts
4 → 75
Calls
4 calls:
2.0ms
(cbrt x)
46.0ms
(* (* t y) z)
40.0ms
(* (* t y) z)
217.0ms
(* (- (* (cbrt x) (* (cbrt x) (cbrt x))) z) (* t y))

series1.2s

Counts
4 → 12
Calls
4 calls:
529.0ms
(cbrt x)
133.0ms
(* (* t y) z)
98.0ms
(* (* t y) z)
452.0ms
(* (- (* (cbrt x) (* (cbrt x) (cbrt x))) z) (* t y))

simplify5.6s

Counts
87 → 87
Iterations
IterNodes
done5000
33094
2861
1266
0103

prune842.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes805.0ms

Accuracy

57.7% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.4b

bsearch149.0ms

Steps
ItersRangePoint
10
6.254652854537183e+45
3.73636363912113e+55
6.525842968778454e+45
7
-8.856414448818497e+31
-3.813738091294552e+29
-1.997863461319427e+30

simplify7.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.4s

Algorithm
intervals
Results
677.0ms10616×body80valid