Details

Time bar (total: 12.9s)

sample38.0ms

Algorithm
intervals
Results
16.0ms356×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5000
83315
71018
6353
5156
489
351
228
114
08

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

3.2b
(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y x) (/ z t) x)

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(fma (- y x) (/ z t) x)

simplify1.5s

Counts
13 → 13
Iterations
IterNodes
done5001
41513
3263
286
141
023

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (- y x) (/ z t) x))
3.2b
(fma (- y x) (/ z t) x)
3.2b
(fma (- y x) (/ z t) x)
3.2b
(fma (- y x) (/ z t) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (- y x) (/ z t) x))
0.0ms
(fma (- y x) (/ z t) x)
0.0ms
(fma (- y x) (/ z t) x)
0.0ms
(fma (- y x) (/ z t) x)

series443.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt (fma (- y x) (/ z t) x))
70.0ms
(fma (- y x) (/ z t) x)
65.0ms
(fma (- y x) (/ z t) x)
49.0ms
(fma (- y x) (/ z t) x)

simplify1.1s

Counts
55 → 55
Iterations
IterNodes
done5000
31111
2281
1118
060

prune348.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.2b
(/ (* (- y x) z) t)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
add-cube-cbrt
pow1 associate-*l* add-log-exp
associate-*l/
expm1-log1p-u associate-/r* fma-def times-frac associate-*r* log1p-expm1-u
cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
15.0ms
(+ x (/ (* (- y x) z) t))
31.0ms
(* (- y x) z)
13.0ms
(/ (* (- y x) z) t)

series172.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (/ (* (- y x) z) t))
43.0ms
(* (- y x) z)
80.0ms
(/ (* (- y x) z) t)

simplify2.1s

Counts
75 → 75
Iterations
IterNodes
done5000
21574
1304
0116

prune493.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.6b
(/ (- y x) (/ t z))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
add-cbrt-cube add-exp-log div-inv
associate-/l*
add-log-exp
cbrt-undiv fma-def div-exp
expm1-log1p-u pow1 div-sub log1p-expm1-u associate-/l/
+-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 121
Calls
2 calls:
50.0ms
(+ x (/ (- y x) (/ t z)))
23.0ms
(/ (- y x) (/ t z))

series135.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ x (/ (- y x) (/ t z)))
63.0ms
(/ (- y x) (/ t z))

simplify1.5s

Counts
127 → 127
Iterations
IterNodes
done5000
23127
1675
0221

prune700.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes370.0ms

Accuracy

-6.9% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch218.0ms

Steps
ItersRangePoint
7
2.6309484927562324e-151
3.089211556659421e-149
9.924502374486064e-151
9
1.626147445974478e-246
4.251827056011906e-237
1.0130533247725743e-244
8
-2.4212175173215518e-214
-3.152465003415573e-217
-3.6152586382211277e-215
6
-2.0718663950780893e-85
-3.612676459336324e-86
-4.800389692060424e-86

simplify12.0ms

Iterations
IterNodes
done38
138
030

end0.0ms

sample1.1s

Algorithm
intervals
Results
587.0ms10632×body80valid