Details

Time bar (total: 20.8s)

sample56.0ms

Algorithm
intervals
Results
30.0ms313×body80valid

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: done (4.3s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite85.0ms

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:
72.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
8.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series153.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
57.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify2.5s

Counts
108 → 108
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02241965
14971754
211911641
341101515
done50001515

prune477.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite306.0ms

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:
257.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
29.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
14.0ms
(/ 2.0 (* t z))

series184.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
70.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
34.0ms
(/ 2.0 (* t z))

simplify2.7s

Counts
135 → 135
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02582515
17262234
226422119
done50002035

prune586.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))
0.3b
(/ (/ 2.0 t) z)

rewrite534.0ms

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:
457.0ms
(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
51.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
18.0ms
(/ (/ 2.0 t) z)

series195.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
68.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
39.0ms
(/ (/ 2.0 t) z)

simplify2.0s

Counts
184 → 184
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03593182
19392851
230702738
done50002672

prune784.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (fma 2.0 1.0 (/ 2.0 z))) (cbrt (fma 2.0 1.0 (/ 2.0 z))))
0.8b
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
0.8b
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
0.8b
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
16.0ms
(* (cbrt (fma 2.0 1.0 (/ 2.0 z))) (cbrt (fma 2.0 1.0 (/ 2.0 z))))
1.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
1.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
1.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (fma 2.0 1.0 (/ 2.0 z))) (cbrt (fma 2.0 1.0 (/ 2.0 z))))
142.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
119.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))
556.0ms
(cbrt (fma 2.0 1.0 (/ 2.0 z)))

simplify2.8s

Counts
93 → 93
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01181689
12781555
28451390
329761185
done50011151

prune529.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample1.3s

Algorithm
intervals
Results
924.0ms10419×body80valid