Details

Time bar (total: 23.4s)

sample39.0ms

Algorithm
intervals
Results
16.0ms317×body80valid

simplify7.8s

Counts
1 → 1
Iterations
IterNodes
done5001
82073
7633
6299
5193
4115
362
227
114
08

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize21.0ms

Local error

Found 1 expressions with local error:

2.0b
(fma (/ z t) (- y x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
1.0ms
(fma (/ z t) (- y x) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (/ z t) (- y x) x)

simplify2.2s

Counts
13 → 13
Iterations
IterNodes
done5000
41922
3277
291
141
023

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ z t) (- y x)) x)
6.8b
(* (/ z t) (- y x))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- prod-exp associate-*r/ cbrt-unprod log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
15.0ms
(+ (* (/ z t) (- y x)) x)
41.0ms
(* (/ z t) (- y x))

series147.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* (/ z t) (- y x)) x)
93.0ms
(* (/ z t) (- y x))

simplify2.0s

Counts
104 → 104
Iterations
IterNodes
done5000
22441
1503
0178

prune578.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ z t) y x) (/ x (/ t z)))
2.0b
(fma (/ z t) y x)
4.9b
(/ x (/ t z))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
204×add-sqr-sqrt
197×*-un-lft-identity
195×add-cube-cbrt
132×prod-diff
17×div-inv
13×associate-/r*
8×add-cbrt-cube add-exp-log
5×add-log-exp
4×associate-/r/
3×expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp log1p-expm1-u associate-/l* difference-of-squares
2×fma-udef
1×clear-num sub-neg frac-2neg flip3-- diff-log associate--l+ flip-- distribute-lft-out--
Counts
3 → 236
Calls
3 calls:
41.0ms
(- (fma (/ z t) y x) (/ x (/ t z)))
1.0ms
(fma (/ z t) y x)
14.0ms
(/ x (/ t z))

series180.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- (fma (/ z t) y x) (/ x (/ t z)))
65.0ms
(fma (/ z t) y x)
27.0ms
(/ x (/ t z))

simplify1.1s

Counts
245 → 245
Iterations
IterNodes
done5001
11359
0500

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.6b
(* (cbrt (- y x)) (cbrt (- y x)))
1.3b
(* (* (/ z t) (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt (- y x)))
5.7b
(* (/ z t) (* (cbrt (- y x)) (cbrt (- y x))))

rewrite335.0ms

Algorithm
rewrite-expression-head
Rules
146×cbrt-div
102×frac-times
73×flip3-- flip--
52×associate-*r/
45×add-sqr-sqrt
40×*-un-lft-identity
39×associate-*l/
38×cbrt-prod
36×add-exp-log
25×pow1
22×associate-*l* add-cube-cbrt
21×add-cbrt-cube
18×prod-exp cbrt-unprod
17×associate-*r*
11×pow-prod-down
10×times-frac swap-sqr
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares unswap-sqr
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 213
Calls
4 calls:
3.0ms
(cbrt (- y x))
46.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
206.0ms
(* (* (/ z t) (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt (- y x)))
66.0ms
(* (/ z t) (* (cbrt (- y x)) (cbrt (- y x))))

series729.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt (- y x))
230.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
94.0ms
(* (* (/ z t) (* (cbrt (- y x)) (cbrt (- y x)))) (cbrt (- y x)))
190.0ms
(* (/ z t) (* (cbrt (- y x)) (cbrt (- y x))))

simplify2.5s

Counts
225 → 225
Iterations
IterNodes
done5000
24278
1957
0341

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes545.0ms

Accuracy

-4.8% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch95.0ms

Steps
ItersRangePoint
4
1.3260198717762074e-167
2.0836951123819894e-167
2.0484611838322853e-167
8
-1.207962284467351e-36
-5.352215755330405e-41
-9.321316198184015e-37

simplify6.0ms

Iterations
IterNodes
done24
124
017

end0.0ms

sample1.3s

Algorithm
intervals
Results
569.0ms10608×body80valid