Details

Time bar (total: 12.4s)

sample29.0ms

Algorithm
intervals
Results
12.0ms336×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
0.1b
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
51×add-sqr-sqrt add-cube-cbrt
45×times-frac
41×associate-+r+
39×prod-diff
13×fma-def
7×add-log-exp
5×div-inv
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u frac-add sum-log log1p-expm1-u distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ distribute-lft-out--
Counts
2 → 102
Calls
2 calls:
60.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
5.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series119.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
51.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
02241965
14971754
211911641
341101515
done50001515

prune303.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
47×add-sqr-sqrt add-cube-cbrt
41×associate-+r+
39×times-frac prod-diff
18×fma-def
17×add-log-exp
10×distribute-lft-out
9×frac-add div-inv
8×add-exp-log add-cbrt-cube
7×sum-log
4×flip3-+ flip-+
3×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l*
2×cbrt-undiv +-commutative diff-log div-exp distribute-lft-out--
1×associate-+r- sub-neg associate-+l+ frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
3 → 126
Calls
3 calls:
175.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
23.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
11.0ms
(/ 2.0 (* t z))

series137.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
54.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
24.0ms
(/ 2.0 (* t z))

simplify1.8s

Counts
135 → 135
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02582515
17262234
226422119
done50002035

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t)) (- (/ x y) 2.0))
0.2b
(* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
45×*-un-lft-identity
44×add-cube-cbrt
41×associate-+r+
39×prod-diff
38×times-frac
13×associate-*r*
11×add-exp-log
7×add-cbrt-cube add-log-exp
4×pow1 frac-add prod-exp div-inv
3×associate-*r/ associate-*l* un-div-inv unswap-sqr
2×expm1-log1p-u flip3-- div-exp sum-log flip-- cbrt-unprod log1p-expm1-u
1×cbrt-undiv +-commutative associate-+r- sub-neg rec-exp fma-def flip3-+ diff-log 1-exp pow-prod-down *-commutative flip-+
Counts
2 → 99
Calls
2 calls:
51.0ms
(+ (* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t)) (- (/ x y) 2.0))
15.0ms
(* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t))

series115.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t)) (- (/ x y) 2.0))
51.0ms
(* (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t))

simplify1.0s

Counts
105 → 105
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02512281
16331850
215841701
done50001596

prune283.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (fma 2.0 (* t z) (* t 2.0)) (* t (* t z))) (- (/ x y) 2.0))
0.2b
(* t (* t z))
25.0b
(/ (fma 2.0 (* t z) (* t 2.0)) (* t (* t z)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
42×add-sqr-sqrt add-cube-cbrt
41×associate-+r+
39×prod-diff
33×times-frac
17×add-exp-log add-cbrt-cube
8×pow1 add-log-exp
7×fma-def
6×prod-exp cbrt-unprod
5×div-inv
3×cbrt-undiv expm1-log1p-u div-exp associate-*l* pow-prod-down log1p-expm1-u associate-/l*
2×frac-add sum-log distribute-lft-out
1×+-commutative associate-+r- sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*r* clear-num associate-/r* *-commutative flip-- flip-+ distribute-lft-out--
Counts
3 → 112
Calls
3 calls:
82.0ms
(+ (/ (fma 2.0 (* t z) (* t 2.0)) (* t (* t z))) (- (/ x y) 2.0))
16.0ms
(* t (* t z))
15.0ms
(/ (fma 2.0 (* t z) (* t 2.0)) (* t (* t z)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (/ (fma 2.0 (* t z) (* t 2.0)) (* t (* t z))) (- (/ x y) 2.0))
21.0ms
(* t (* t z))
104.0ms
(/ (fma 2.0 (* t z) (* t 2.0)) (* t (* t z)))

simplify973.0ms

Counts
121 → 121
Iterations

Useful iterations: done (969.0ms)

IterNodesCost
02432662
15882439
218272212
done50002020

prune337.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample754.0ms

Algorithm
intervals
Results
390.0ms10414×body80valid