Details

Time bar (total: 11.2s)

sample26.0ms

Algorithm
intervals
Results
13.0ms325×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 5 (59.0ms)

IterNodesCost
01417
12517
24916
38916
416316
525715
642015
785715
8226715
done500015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
9.0b
(/ (fma z (- 1.0 t) 1) z)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
2.0ms
(/ (fma z (- 1.0 t) 1) z)

series122.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
34.0ms
(/ (fma z (- 1.0 t) 1) z)

simplify1.9s

Counts
45 → 45
Iterations

Useful iterations: 4 (699.0ms)

IterNodesCost
080669
1142659
2333590
3906590
43339589
done5000589

prune152.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
41×add-sqr-sqrt
39×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
16×fma-def
14×add-exp-log add-cbrt-cube
12×times-frac
9×pow1
8×add-log-exp
5×associate-*r*
4×expm1-log1p-u sub-neg prod-exp cbrt-unprod log1p-expm1-u
3×flip3-+ pow-prod-down flip-+ associate-/l*
2×cbrt-undiv +-commutative associate-*r/ div-exp sum-log div-inv associate-/l/
1×flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* *-commutative flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 137
Calls
4 calls:
6.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
16.0ms
(* (* z 2.0) (- 1.0 t))
17.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series193.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
47.0ms
(* (* z 2.0) (- 1.0 t))
51.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
63.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.1s

Counts
149 → 149
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02252413
16142085
220861722
done50001704

prune372.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.0b
(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
0.7b
(/ 2.0 (* t z))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
48×add-sqr-sqrt add-cube-cbrt
42×associate-+r+ times-frac
39×prod-diff
20×fma-def
17×add-log-exp
8×add-exp-log frac-add add-cbrt-cube
7×sum-log distribute-lft-out
6×div-inv
3×pow1 expm1-log1p-u associate-+r- flip3-+ flip-+ log1p-expm1-u associate-/l*
2×cbrt-undiv +-commutative flip3-- diff-log div-exp flip-- distribute-lft-out--
1×sub-neg frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
3 → 127
Calls
3 calls:
33.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
88.0ms
(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
3.0ms
(/ 2.0 (* t z))

series113.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
54.0ms
(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
25.0ms
(/ 2.0 (* t z))

simplify1.0s

Counts
136 → 136
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02502265
16701987
222111838
done50001760

prune314.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.0b
(+ (/ x y) (+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (fma (- 2.0) 1 (* 2.0 1))))
0.7b
(/ 2.0 (* t z))

rewrite451.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
48×add-sqr-sqrt add-cube-cbrt
42×associate-+r+ times-frac
39×prod-diff
22×add-log-exp
20×fma-def
11×sum-log distribute-lft-out
8×add-exp-log add-cbrt-cube
6×div-inv
4×frac-add
3×pow1 expm1-log1p-u associate-+r- flip3-+ flip-+ log1p-expm1-u associate-/l*
2×cbrt-undiv +-commutative diff-log div-exp distribute-lft-out--
1×associate-+l- sub-neg flip3-- frac-2neg prod-exp clear-num associate-/r* flip-- cbrt-unprod
Counts
3 → 127
Calls
3 calls:
36.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
406.0ms
(+ (/ x y) (+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (fma (- 2.0) 1 (* 2.0 1))))
3.0ms
(/ 2.0 (* t z))

series134.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
76.0ms
(+ (/ x y) (+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (fma (- 2.0) 1 (* 2.0 1))))
23.0ms
(/ 2.0 (* t z))

simplify1.2s

Counts
136 → 136
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02602480
17022094
222951935
done50011824

prune357.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01723
12421
done2421

end0.0ms

sample686.0ms

Algorithm
intervals
Results
418.0ms10447×body80valid