Details

Time bar (total: 13.5s)

sample65.0ms

Algorithm
intervals
Results
26.0ms333×body80valid

simplify1.2s

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

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite104.0ms

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))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify1.9s

Counts
35 → 35
Iterations
IterNodes
done5000
34200
2750
1206
080

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite263.0ms

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:
174.0ms
(+ (- (/ x t) (/ z t)) (/ y t))
38.0ms
(- (/ x t) (/ z t))

series51.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (- (/ x t) (/ z t)) (/ y t))
25.0ms
(- (/ x t) (/ z t))

simplify1.6s

Counts
420 → 420
Iterations
IterNodes
done5001
22839
1861
0370

prune2.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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:
9.0ms
(+ (fma (/ 1 1) (/ x t) (- (* (/ 1 t) z))) (fma (/ z t) 0 (/ y t)))
0.0ms
(fma (/ 1 1) (/ x t) (- (* (/ 1 t) z)))
34.0ms
(* (/ 1 t) z)

series105.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ (fma (/ 1 1) (/ x t) (- (* (/ 1 t) z))) (fma (/ z t) 0 (/ y t)))
46.0ms
(fma (/ 1 1) (/ x t) (- (* (/ 1 t) z)))
16.0ms
(* (/ 1 t) z)

simplify618.0ms

Counts
75 → 75
Iterations
IterNodes
done5001
21215
1278
0118

prune442.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1 (/ x t) (- (* (sqrt (/ z t)) (sqrt (/ z t)))))
0.2b
(* (sqrt (/ z t)) (sqrt (/ z t)))
10.8b
(sqrt (/ z t))
10.8b
(sqrt (/ z t))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
92×sqrt-prod
84×add-sqr-sqrt
62×times-frac
50×*-un-lft-identity add-cube-cbrt
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
6×add-cbrt-cube sqrt-div add-exp-log div-inv
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod fma-udef
Counts
4 → 153
Calls
4 calls:
0.0ms
(fma 1 (/ x t) (- (* (sqrt (/ z t)) (sqrt (/ z t)))))
37.0ms
(* (sqrt (/ z t)) (sqrt (/ z t)))
5.0ms
(sqrt (/ z t))
5.0ms
(sqrt (/ z t))

series192.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma 1 (/ x t) (- (* (sqrt (/ z t)) (sqrt (/ z t)))))
18.0ms
(* (sqrt (/ z t)) (sqrt (/ z t)))
64.0ms
(sqrt (/ z t))
67.0ms
(sqrt (/ z t))

simplify1.2s

Counts
165 → 165
Iterations
IterNodes
done5000
21472
1329
0170

prune997.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes404.0ms

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

sample1.2s

Algorithm
intervals
Results
520.0ms10950×body80valid