Details

Time bar (total: 19.5s)

sample38.0ms

Algorithm
intervals
Results
17.0ms321×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: done (5.1s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)

rewrite95.0ms

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:
75.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
10.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series196.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
82.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify2.8s

Counts
108 → 108
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02241965
14971754
211911641
341101515
done50001515

prune413.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

simplify2.0s

Counts
13 → 13
Iterations

Useful iterations: done (2.0s)

IterNodesCost
030241
156240
2122191
3383191
41980190
done5002189

prune55.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

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)))
0.6b
(/ 2.0 (* t z))

rewrite364.0ms

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:
318.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
27.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
8.0ms
(/ 2.0 (* t z))

series178.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
59.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
39.0ms
(/ 2.0 (* t z))

simplify2.5s

Counts
135 → 135
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02582515
17262234
226422119
done50002035

prune526.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
0.0b
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
0.1b
(fma (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) 1) (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t) (- (/ x y) 2.0))
0.3b
(/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log add-cbrt-cube associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 81
Calls
4 calls:
3.0ms
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
2.0ms
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
0.0ms
(fma (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) 1) (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t) (- (/ x y) 2.0))
7.0ms
(/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t)

series609.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
52.0ms
(sqrt (fma 2.0 1.0 (/ 2.0 z)))
300.0ms
(fma (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) 1) (/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t) (- (/ x y) 2.0))
212.0ms
(/ (sqrt (fma 2.0 1.0 (/ 2.0 z))) t)

simplify2.1s

Counts
93 → 93
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01381541
12811297
26941212
319861207
done50011194

prune358.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
11314
done1314

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s10566×body80valid