Details

Time bar (total: 10.5s)

sample67.0ms

Algorithm
intervals
Results
37.0ms333×body80valid

simplify754.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
9.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1 add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
44.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
46.0ms
(* (* z 2.0) (- 1.0 t))
57.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series271.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
82.0ms
(* (* z 2.0) (- 1.0 t))
112.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify829.0ms

Counts
71 → 71

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.0b
(+ (/ 2.0 z) 2.0)
0.0b
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
13×add-exp-log associate-*l* add-log-exp
12×add-cube-cbrt
11×times-frac
9×add-cbrt-cube
6×pow1
4×associate-+r+ flip3-+ associate-*r* prod-exp associate--l+ flip-+
3×distribute-rgt-in distribute-lft-in sum-log distribute-lft-out unswap-sqr
2×+-commutative frac-times sub-neg flip3-- diff-log associate-*r/ div-exp frac-add flip-- cbrt-unprod
1×cbrt-undiv associate-+r- rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
43.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
19.0ms
(+ (/ 2.0 z) 2.0)
77.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
67.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series236.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
37.0ms
(+ (/ 2.0 z) 2.0)
89.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
64.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify811.0ms

Counts
100 → 100

prune331.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0)
0.0b
(+ (/ 2.0 z) 2.0)
0.0b
(+ (/ x y) (- (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
0.1b
(/ (+ (/ 2.0 z) 2.0) t)

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt add-log-exp
12×times-frac
6×add-exp-log add-cbrt-cube distribute-lft-out
4×pow1 associate-/l*
3×flip3-+ associate-/r* sum-log flip-+
2×+-commutative sub-neg associate-+r+ flip3-- diff-log frac-add flip-- associate-/l/
1×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
Counts
4 → 75
Calls
4 calls:
51.0ms
(- (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0)
17.0ms
(+ (/ 2.0 z) 2.0)
180.0ms
(+ (/ x y) (- (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
56.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series210.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0)
47.0ms
(+ (/ 2.0 z) 2.0)
72.0ms
(+ (/ x y) (- (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
57.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify647.0ms

Counts
87 → 87

prune360.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
0.8b
(cbrt (+ (/ 2.0 z) 2.0))
0.8b
(cbrt (+ (/ 2.0 z) 2.0))
0.8b
(cbrt (+ (/ 2.0 z) 2.0))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
26×add-exp-log
21×*-un-lft-identity
18×add-sqr-sqrt
16×frac-times
15×flip3-+ flip-+
14×add-cube-cbrt
13×associate-*l*
12×cbrt-prod associate-*r/ prod-exp add-cbrt-cube
11×times-frac
9×pow1
6×cbrt-unprod
5×associate-*l/
4×div-exp add-log-exp
3×pow1/3 pow-prod-down distribute-lft-out unswap-sqr
2×cbrt-undiv rec-exp 1-exp
1×associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
140.0ms
(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
11.0ms
(cbrt (+ (/ 2.0 z) 2.0))
15.0ms
(cbrt (+ (/ 2.0 z) 2.0))
15.0ms
(cbrt (+ (/ 2.0 z) 2.0))

series662.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
111.0ms
(cbrt (+ (/ 2.0 z) 2.0))
128.0ms
(cbrt (+ (/ 2.0 z) 2.0))
153.0ms
(cbrt (+ (/ 2.0 z) 2.0))

simplify932.0ms

Counts
110 → 110

prune536.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes225.0ms

Accuracy

0.8% (0.0b remaining)

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

bsearch0.0ms

simplify607.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s10505×body80valid