Details

Time bar (total: 23.2s)

sample37.0ms

Algorithm
intervals
Results
17.0ms333×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: done (5.2s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune10.0ms

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))
0.2b
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite109.0ms

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:
83.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
16.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series148.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
65.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify2.8s

Counts
108 → 108
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02241965
14971754
211911641
341101515
done50001515

prune477.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))
0.5b
(/ 2.0 (* t z))

rewrite269.0ms

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:
228.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
27.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
9.0ms
(/ 2.0 (* t z))

series156.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
61.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
28.0ms
(/ 2.0 (* t z))

simplify2.2s

Counts
135 → 135
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02582515
17262234
226422119
done50002035

prune446.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))
0.2b
(/ (/ 2.0 t) z)

rewrite481.0ms

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:
394.0ms
(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
54.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
16.0ms
(/ (/ 2.0 t) z)

series161.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
55.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
28.0ms
(/ (/ 2.0 t) z)

simplify2.0s

Counts
184 → 184
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03593182
19392851
230702738
done50002672

prune785.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
0.6b
(cbrt (/ 2.0 t))
0.6b
(cbrt (/ 2.0 t))
0.6b
(cbrt (/ 2.0 t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
43.0ms
(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
2.0ms
(cbrt (/ 2.0 t))
2.0ms
(cbrt (/ 2.0 t))
3.0ms
(cbrt (/ 2.0 t))

series1.3s

Counts
4 → 12
Calls
4 calls:
336.0ms
(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
338.0ms
(cbrt (/ 2.0 t))
342.0ms
(cbrt (/ 2.0 t))
280.0ms
(cbrt (/ 2.0 t))

simplify3.5s

Counts
164 → 164
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01461894
12251747
26011685
312371616
440011610
done50001571

prune852.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes192.0ms

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
01115
11315
done1315

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s10451×body80valid