Details

Time bar (total: 15.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms264×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01317
12517
23917
36417
411317
521817
644917
7116017
8496617
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b
(/ (- (* y z) x) (- (* t z) x))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
25×times-frac
24×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
3×flip3-- fma-def flip3-+ prod-diff flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg fma-neg diff-log sum-log
Counts
4 → 113
Calls
4 calls:
21.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms
(- (* t z) x)
58.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms
(/ (- (* y z) x) (- (* t z) x))

series291.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
24.0ms
(- (* t z) x)
125.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
58.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify709.0ms

Counts
125 → 125
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
01822295
14642174
218132036
done50002036

prune372.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
2.2b
(/ x (- (* t z) x))
8.9b
(/ (* y z) (- (* t z) x))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
53×add-sqr-sqrt
45×times-frac
28×add-cube-cbrt
13×add-exp-log add-cbrt-cube distribute-lft-out
11×associate-/l*
10×associate-/r* distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u flip3-- div-exp flip-- log1p-expm1-u associate-/l/
3×frac-2neg prod-diff clear-num div-inv
2×flip3-+ frac-sub flip-+
1×sub-neg fma-neg diff-log div-sub prod-exp cbrt-unprod
Counts
4 → 134
Calls
4 calls:
3.0ms
(- (* t z) x)
268.0ms
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
6.0ms
(/ x (- (* t z) x))
7.0ms
(/ (* y z) (- (* t z) x))

series248.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (* t z) x)
127.0ms
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
62.0ms
(/ x (- (* t z) x))
34.0ms
(/ (* y z) (- (* t z) x))

simplify970.0ms

Counts
146 → 146
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
02263134
15813025
224562831
done50012831

prune408.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ x (/ y (/ (- (* t z) x) z))) (/ x (- (* t z) x))) (+ x 1.0))
2.0b
(/ y (/ (- (* t z) x) z))
2.2b
(/ x (- (* t z) x))
6.4b
(/ (- (* t z) x) z)

rewrite524.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
116×*-un-lft-identity
100×add-sqr-sqrt
75×add-cube-cbrt
23×associate-/r*
16×associate-/l*
15×add-exp-log add-cbrt-cube
13×distribute-lft-out
10×distribute-lft-out-- difference-of-squares
8×div-inv
6×cbrt-undiv div-exp associate-/l/
5×associate-/r/
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×flip3-- flip--
2×flip3-+ div-sub frac-sub flip-+
Counts
4 → 195
Calls
4 calls:
489.0ms
(/ (- (+ x (/ y (/ (- (* t z) x) z))) (/ x (- (* t z) x))) (+ x 1.0))
9.0ms
(/ y (/ (- (* t z) x) z))
6.0ms
(/ x (- (* t z) x))
9.0ms
(/ (- (* t z) x) z)

series260.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(/ (- (+ x (/ y (/ (- (* t z) x) z))) (/ x (- (* t z) x))) (+ x 1.0))
36.0ms
(/ y (/ (- (* t z) x) z))
63.0ms
(/ x (- (* t z) x))
37.0ms
(/ (- (* t z) x) z)

simplify1.0s

Counts
207 → 207
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
03184335
17754187
231133895
done50003895

prune630.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t 1) (/ x z))
0.0b
(/ (- (+ x (/ y (- (/ t 1) (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
2.0b
(/ y (- (/ t 1) (/ x z)))
2.2b
(/ x (- (* t z) x))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
363×times-frac
340×add-sqr-sqrt
311×*-un-lft-identity
230×add-cube-cbrt
169×prod-diff
40×difference-of-squares
30×div-inv
20×distribute-lft-out--
18×associate-/r*
13×fma-neg distribute-lft-out associate-/l*
10×add-exp-log add-cbrt-cube
7×associate-/r/
6×add-log-exp
4×pow1 expm1-log1p-u flip3-- frac-sub flip-- log1p-expm1-u associate-/l/
3×cbrt-undiv frac-2neg div-exp clear-num
2×flip3-+ flip-+
1×sub-neg diff-log div-sub
Counts
4 → 360
Calls
4 calls:
25.0ms
(- (/ t 1) (/ x z))
1.2s
(/ (- (+ x (/ y (- (/ t 1) (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
29.0ms
(/ y (- (/ t 1) (/ x z)))
8.0ms
(/ x (- (* t z) x))

series238.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ t 1) (/ x z))
117.0ms
(/ (- (+ x (/ y (- (/ t 1) (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
37.0ms
(/ y (- (/ t 1) (/ x z)))
63.0ms
(/ x (- (* t z) x))

simplify2.7s

Counts
372 → 372
Iterations

Useful iterations: done (2.6s)

IterNodesCost
055611609
112249604
241136949
done50016923

prune621.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02140
12738
22938
done2938

end0.0ms

sample557.0ms

Algorithm
intervals
Results
325.0ms8315×body80valid