Details

Time bar (total: 14.9s)

sample26.0ms

Algorithm
intervals
Results
14.0ms267×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01317
12517
23917
36417
411317
520017
639717
782617
8253617
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y z) x)
0.3b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.8b
(/ (- (* y z) x) (- (* t z) x))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
7×add-exp-log associate-/r* add-cbrt-cube associate-/l*
5×add-log-exp
4×associate-/r/ associate-/l/
3×pow1 expm1-log1p-u flip3-- div-sub prod-diff flip-- log1p-expm1-u
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×associate-+r- sub-neg fma-neg diff-log
Counts
3 → 95
Calls
3 calls:
3.0ms
(- (* y z) x)
57.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms
(/ (- (* y z) x) (- (* t z) x))

series224.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- (* y z) x)
135.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
67.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify2.4s

Counts
104 → 104
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01751983
14321899
212411767
344501759
done50001756

prune313.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
2.7b
(/ x (- (* t z) x))
2.7b
(* y (/ z (- (* t z) x)))
8.7b
(/ z (- (* t z) x))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
44×times-frac
43×add-sqr-sqrt
38×add-cube-cbrt
15×add-exp-log associate-*r* add-cbrt-cube
10×associate-/r* distribute-lft-out associate-/l*
8×associate-/r/
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
3×flip3-- frac-2neg associate-*l* clear-num flip--
2×flip3-+ prod-exp cbrt-unprod flip-+ associate-/l/ unswap-sqr
1×associate-+r- div-sub associate-*r/ pow-prod-down *-commutative
Counts
4 → 141
Calls
4 calls:
116.0ms
(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms
(/ x (- (* t z) x))
20.0ms
(* y (/ z (- (* t z) x)))
6.0ms
(/ z (- (* t z) x))

series282.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
71.0ms
(/ x (- (* t z) x))
42.0ms
(* y (/ z (- (* t z) x)))
36.0ms
(/ z (- (* t z) x))

simplify1.9s

Counts
153 → 153
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02132767
14902688
213512432
341612432
done50002430

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (- (* t z) x) z))
2.7b
(/ x (- (* t z) x))
2.7b
(* y (/ 1 (/ (- (* t z) x) z)))
8.7b
(/ (- (* t z) x) z)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
112×add-sqr-sqrt
100×*-un-lft-identity
98×add-cube-cbrt
44×associate-*r*
38×add-exp-log
22×add-cbrt-cube
19×associate-/r*
16×div-exp
11×div-inv
9×associate-/l*
8×cbrt-undiv
7×pow1 prod-exp
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp associate-/r/ log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num cbrt-unprod
2×flip3-- flip-- associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 216
Calls
4 calls:
8.0ms
(/ 1 (/ (- (* t z) x) z))
6.0ms
(/ x (- (* t z) x))
27.0ms
(* y (/ 1 (/ (- (* t z) x) z)))
9.0ms
(/ (- (* t z) x) z)

series175.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1 (/ (- (* t z) x) z))
68.0ms
(/ x (- (* t z) x))
38.0ms
(* y (/ 1 (/ (- (* t z) x) z)))
38.0ms
(/ (- (* t z) x) z)

simplify2.4s

Counts
228 → 228
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02843364
16902876
214472557
338332382
done50012380

prune672.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1 (/ y (- t (/ x z)))) (/ x (- (* t z) x)))
0.3b
(/ (+ x (- (* 1 (/ y (- t (/ x z)))) (/ x (- (* t z) x)))) (+ x 1.0))
2.7b
(/ y (- t (/ x z)))
2.7b
(/ x (- (* t z) x))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
41×add-cube-cbrt
16×distribute-lft-out
15×prod-diff
13×associate-/r*
11×associate-/l*
10×add-exp-log add-cbrt-cube distribute-lft-out--
8×associate-/r/ difference-of-squares
6×add-log-exp
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv
3×cbrt-undiv frac-2neg div-exp clear-num
2×flip3-+ flip-+ associate-/l/
1×associate-+r- sub-neg fma-neg diff-log div-sub associate-*r/ frac-sub
Counts
4 → 154
Calls
4 calls:
21.0ms
(- (* 1 (/ y (- t (/ x z)))) (/ x (- (* t z) x)))
153.0ms
(/ (+ x (- (* 1 (/ y (- t (/ x z)))) (/ x (- (* t z) x)))) (+ x 1.0))
12.0ms
(/ y (- t (/ x z)))
6.0ms
(/ x (- (* t z) x))

series298.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* 1 (/ y (- t (/ x z)))) (/ x (- (* t z) x)))
125.0ms
(/ (+ x (- (* 1 (/ y (- t (/ x z)))) (/ x (- (* t z) x)))) (+ x 1.0))
34.0ms
(/ y (- t (/ x z)))
69.0ms
(/ x (- (* t z) x))

simplify1.1s

Counts
166 → 166
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03254077
17733660
221853269
done50003268

prune513.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes115.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01723
12321
done2321

end0.0ms

sample538.0ms

Algorithm
intervals
Results
318.0ms8332×body80valid