Details

Time bar (total: 16.1s)

sample27.0ms

Algorithm
intervals
Results
12.0ms384×body80valid

simplify1.4s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite107.0ms

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:
105.0ms
(/ (- (+ x y) z) (* t 2.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify2.4s

Counts
35 → 35
Iterations
IterNodes
done5000
34200
2750
1206
080

prune209.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite827.0ms

Algorithm
rewrite-expression-head
Rules
515×times-frac
431×*-un-lft-identity
413×add-sqr-sqrt
387×add-cube-cbrt
338×prod-diff
171×associate-+l+
57×div-inv
16×distribute-lft-out--
13×fma-neg
12×fma-def
10×distribute-lft-out add-log-exp
8×associate-*r* frac-add difference-of-squares
6×associate-*r/
5×pow1 add-cbrt-cube add-exp-log
3×expm1-log1p-u flip3-- associate-*l* frac-sub log1p-expm1-u flip-- sub-div
2×sum-log sub-neg flip3-+ distribute-rgt-out-- diff-log flip-+
1×distribute-rgt-in +-commutative distribute-lft-in pow-prod-down prod-exp *-commutative associate-+l- cbrt-unprod unswap-sqr
Counts
3 → 447
Calls
3 calls:
564.0ms
(* 0.5 (+ (- (/ x t) (/ z t)) (/ y t)))
189.0ms
(+ (- (/ x t) (/ z t)) (/ y t))
35.0ms
(- (/ x t) (/ z t))

series111.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* 0.5 (+ (- (/ x t) (/ z t)) (/ y t)))
32.0ms
(+ (- (/ x t) (/ z t)) (/ y t))
26.0ms
(- (/ x t) (/ z t))

simplify2.0s

Counts
456 → 456
Iterations
IterNodes
done5000
23722
11016
0411

prune3.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
35×*-un-lft-identity
34×times-frac
23×add-exp-log
22×associate-*r*
18×add-cube-cbrt
13×add-cbrt-cube associate-*l*
8×div-exp prod-exp
6×distribute-lft-out-- unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1 distribute-lft-out difference-of-squares
2×rec-exp 1-exp div-inv
1×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 67
Calls
1 calls:
94.0ms
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

series57.0ms

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

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5000
22496
1409
0139

prune332.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* t 2.0) (- (+ x y) z))
0.4b
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
55×*-un-lft-identity
37×add-sqr-sqrt
28×add-exp-log
25×add-cube-cbrt
18×associate-/r*
16×add-cbrt-cube
14×div-exp
12×distribute-lft-out--
11×associate-/r/
7×cbrt-undiv
6×div-inv distribute-lft-out difference-of-squares
5×flip3-- flip--
4×prod-exp associate-/l*
3×pow1 rec-exp 1-exp
2×expm1-log1p-u clear-num frac-2neg cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 109
Calls
2 calls:
33.0ms
(/ (* t 2.0) (- (+ x y) z))
43.0ms
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (* t 2.0) (- (+ x y) z))
57.0ms
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

simplify1.3s

Counts
115 → 115
Iterations
IterNodes
done5001
22499
1470
0174

prune476.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes481.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
847.0ms10854×body80valid