Details

Time bar (total: 15.0s)

sample54.0ms

Algorithm
intervals
Results
19.0ms333×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5000
81520
7525
6220
5110
476
357
241
120
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×times-frac add-cbrt-cube add-exp-log associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp distribute-lft-out difference-of-squares associate-/l/
1×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg flip3-- div-sub prod-exp cbrt-unprod log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 32
Calls
1 calls:
103.0ms
(/ (- (+ x y) z) (* t 2.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify2.3s

Counts
35 → 35
Iterations
IterNodes
done5000
34200
2750
1206
080

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
506×times-frac
411×*-un-lft-identity
405×add-sqr-sqrt
381×add-cube-cbrt
338×prod-diff
171×associate-+l+
57×div-inv
13×fma-neg
12×fma-def distribute-lft-out--
9×add-log-exp
8×difference-of-squares
5×distribute-lft-out
4×frac-add
2×expm1-log1p-u pow1 sum-log sub-neg flip3-- add-cbrt-cube distribute-rgt-out-- diff-log add-exp-log frac-sub log1p-expm1-u flip-- sub-div
1×+-commutative flip3-+ associate-+l- flip-+
Counts
2 → 414
Calls
2 calls:
193.0ms
(+ (- (/ x t) (/ z t)) (/ y t))
42.0ms
(- (/ x t) (/ z t))

series57.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (- (/ x t) (/ z t)) (/ y t))
27.0ms
(- (/ x t) (/ z t))

simplify2.1s

Counts
420 → 420
Iterations
IterNodes
done5001
22839
1861
0370

prune2.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma 1 (/ x t) (- (* (/ 1 t) z))) (fma (/ z t) 0 (/ y t)))
0.0b
(fma 1 (/ x t) (- (* (/ 1 t) z)))
0.2b
(* (/ 1 t) z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*l*
12×add-exp-log add-cube-cbrt
11×times-frac
8×add-cbrt-cube
5×pow1 add-log-exp
4×prod-exp
3×expm1-log1p-u fma-def associate-*r* fma-udef log1p-expm1-u unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv +-commutative rec-exp associate-+l+ associate-+r+ sum-log flip3-+ 1-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out
Counts
3 → 66
Calls
3 calls:
8.0ms
(+ (fma 1 (/ x t) (- (* (/ 1 t) z))) (fma (/ z t) 0 (/ y t)))
0.0ms
(fma 1 (/ x t) (- (* (/ 1 t) z)))
21.0ms
(* (/ 1 t) z)

series110.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (fma 1 (/ x t) (- (* (/ 1 t) z))) (fma (/ z t) 0 (/ y t)))
44.0ms
(fma 1 (/ x t) (- (* (/ 1 t) z)))
16.0ms
(* (/ 1 t) z)

simplify850.0ms

Counts
75 → 75
Iterations
IterNodes
done5000
21213
1277
0117

prune445.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ z t) (/ z t))
0.3b
(* (/ x t) (/ x t))
2.5b
(- (* (/ x t) (/ x t)) (* (/ z t) (/ z t)))
25.5b
(/ (- (* (/ x t) (/ x t)) (* (/ z t) (/ z t))) (+ (/ x t) (/ z t)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
142×times-frac
124×*-un-lft-identity
108×add-sqr-sqrt
84×add-cube-cbrt
30×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
22×associate-*l/ associate-*r/
20×distribute-lft-out
19×div-inv
18×frac-times pow1 frac-sub
16×associate-/l/
10×sub-div difference-of-squares
9×cbrt-undiv div-exp
8×associate-/r* prod-exp cbrt-unprod unswap-sqr
6×add-log-exp
5×distribute-rgt-out
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×associate-/r/
2×pow2 pow-plus flip3-- pow-prod-down pow-sqr *-commutative pow-prod-up flip--
1×clear-num sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub prod-diff frac-add flip-+
Counts
4 → 247
Calls
4 calls:
26.0ms
(* (/ z t) (/ z t))
27.0ms
(* (/ x t) (/ x t))
18.0ms
(- (* (/ x t) (/ x t)) (* (/ z t) (/ z t)))
86.0ms
(/ (- (* (/ x t) (/ x t)) (* (/ z t) (/ z t))) (+ (/ x t) (/ z t)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (/ z t) (/ z t))
38.0ms
(* (/ x t) (/ x t))
82.0ms
(- (* (/ x t) (/ x t)) (* (/ z t) (/ z t)))
83.0ms
(/ (- (* (/ x t) (/ x t)) (* (/ z t) (/ z t))) (+ (/ x t) (/ z t)))

simplify1.1s

Counts
259 → 259
Iterations
IterNodes
done5001
11270
0357

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes369.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample1.3s

Algorithm
intervals
Results
768.0ms10950×body80valid