Details

Time bar (total: 15.6s)

sample35.0ms

Algorithm
intervals
Results
16.0ms348×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune14.0ms

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)

rewrite74.0ms

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:
61.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
6.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series120.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
49.0ms
(/ (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

prune341.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite234.0ms

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:
193.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
25.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
9.0ms
(/ 2.0 (* t z))

series147.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
52.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
29.0ms
(/ 2.0 (* t z))

simplify1.9s

Counts
135 → 135
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02582515
17262234
226422119
done50002035

prune420.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 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))
0.2b
(/ (/ 2.0 t) z)

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
111×*-un-lft-identity
87×add-sqr-sqrt add-cube-cbrt
41×associate-+r+
39×prod-diff
18×fma-def
17×add-log-exp
13×associate-/l*
10×distribute-lft-out
9×frac-add div-inv
8×add-exp-log add-cbrt-cube
7×sum-log
4×flip3-+ flip-+
3×pow1 cbrt-undiv expm1-log1p-u flip3-- div-exp associate-/r* flip-- log1p-expm1-u
2×+-commutative diff-log distribute-lft-out--
1×associate-+r- sub-neg associate-+l+ frac-2neg clear-num associate-/l/
Counts
3 → 175
Calls
3 calls:
369.0ms
(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
50.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
12.0ms
(/ (/ 2.0 t) z)

series143.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
52.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
25.0ms
(/ (/ 2.0 t) z)

simplify1.6s

Counts
184 → 184
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03593182
19392851
230702738
done50002672

prune604.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (/ 2.0 t) (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))) (- (/ x y) 2.0))
0.0b
(+ (/ 2.0 t) (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))))
0.4b
(/ (* t z) (sqrt 2.0))
0.7b
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

rewrite571.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
117×*-un-lft-identity
93×add-sqr-sqrt add-cube-cbrt
60×sqrt-prod
41×associate-+r+
39×prod-diff
18×add-exp-log fma-def add-cbrt-cube add-log-exp
16×associate-/r*
13×div-inv
10×distribute-lft-out
9×frac-add
7×cbrt-undiv div-exp sum-log associate-/l*
4×pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
3×flip3-- flip--
2×+-commutative frac-2neg diff-log prod-exp clear-num cbrt-unprod distribute-lft-out--
1×associate-+r- sub-neg associate-+l+ associate-/r/
Counts
4 → 227
Calls
4 calls:
468.0ms
(+ (+ (/ 2.0 t) (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))) (- (/ x y) 2.0))
63.0ms
(+ (/ 2.0 t) (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))))
12.0ms
(/ (* t z) (sqrt 2.0))
15.0ms
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(+ (+ (/ 2.0 t) (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))) (- (/ x y) 2.0))
123.0ms
(+ (/ 2.0 t) (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))))
82.0ms
(/ (* t z) (sqrt 2.0))
93.0ms
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

simplify1.5s

Counts
239 → 239
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03764713
19884199
233793518
done50013399

prune687.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes112.0ms

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: 0 (0.0ms)

IterNodesCost
01624
11924
done1924

end0.0ms

sample787.0ms

Algorithm
intervals
Results
405.0ms10422×body80valid