Details

Time bar (total: 17.1s)

sample28.0ms

Algorithm
intervals
Results
13.0ms268×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01317
12517
23917
36417
411417
526217
679317
7318017
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* y z) x)
1.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.5b
(/ (- (* y z) x) (- (* t z) x))

rewrite305.0ms

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:
53.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
15.0ms
(- (* y z) x)
188.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
43.0ms
(/ (- (* y z) x) (- (* t z) x))

series544.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
31.0ms
(- (* y z) x)
209.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
110.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify1.9s

Counts
125 → 125
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01832295
14892179
222002043
done50012037

prune489.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.4b
(/ x (- (* t z) x))
2.9b
(/ y (- (* t z) x))
3.0b
(fma (/ y (- (* t z) x)) z x)

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×*-un-lft-identity
47×times-frac
32×add-cube-cbrt
12×associate-/l*
10×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
7×distribute-lft-out
6×associate-/r/
5×distribute-lft-out--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
2×associate-/l/
1×flip3-+ div-sub flip-+ fma-udef
Counts
4 → 125
Calls
4 calls:
153.0ms
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
25.0ms
(/ x (- (* t z) x))
26.0ms
(/ y (- (* t z) x))
1.0ms
(fma (/ y (- (* t z) x)) z x)

series345.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
64.0ms
(/ x (- (* t z) x))
40.0ms
(/ y (- (* t z) x))
69.0ms
(fma (/ y (- (* t z) x)) z x)

simplify1.0s

Counts
137 → 137
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02152892
15122833
218682665
done50012663

prune534.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z y) x)
0.4b
(/ 1 (/ (- (* t z) x) (- (* z y) x)))
1.0b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* z y) x)))) (+ x 1.0))
7.3b
(/ (- (* t z) x) (- (* z y) x))

rewrite372.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
95×*-un-lft-identity
68×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×associate-/r/ add-cbrt-cube
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u associate-/l/
3×frac-2neg prod-diff clear-num
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg pow-flip fma-neg diff-log div-sub inv-pow
Counts
4 → 185
Calls
4 calls:
9.0ms
(- (* z y) x)
30.0ms
(/ 1 (/ (- (* t z) x) (- (* z y) x)))
260.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* z y) x)))) (+ x 1.0))
64.0ms
(/ (- (* t z) x) (- (* z y) x))

series438.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* z y) x)
119.0ms
(/ 1 (/ (- (* t z) x) (- (* z y) x)))
196.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* z y) x)))) (+ x 1.0))
76.0ms
(/ (- (* t z) x) (- (* z y) x))

simplify2.8s

Counts
197 → 197
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02834287
17543970
246673595
done50003590

prune768.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (- (* z y) x))
0.2b
(/ 1 (- (* t z) x))
1.0b
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))) (+ x 1.0))
7.4b
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))

rewrite722.0ms

Algorithm
rewrite-expression-head
Rules
547×times-frac
274×*-un-lft-identity
254×add-sqr-sqrt add-cube-cbrt
71×associate-/r/
54×add-exp-log
37×div-exp
36×div-inv
34×flip3-- flip--
25×associate-/r* associate-/l*
22×add-cbrt-cube
11×cbrt-undiv
10×rec-exp 1-exp distribute-lft-out
6×pow1
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×associate-/l/
2×pow-flip flip3-+ flip-+ inv-pow
Counts
4 → 401
Calls
4 calls:
33.0ms
(/ 1 (- (* z y) x))
20.0ms
(/ 1 (- (* t z) x))
523.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))) (+ x 1.0))
87.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))

series750.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 1 (- (* z y) x))
35.0ms
(/ 1 (- (* t z) x))
505.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))) (+ x 1.0))
181.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))

simplify1.3s

Counts
413 → 413
Iterations

Useful iterations: done (1.3s)

IterNodesCost
059512002
1197710326
done50019473

prune857.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.9b

regimes228.0ms

Accuracy

15.6% (3.4b remaining)

Error of 3.5b against oracle of 0.1b and baseline of 4.2b

bsearch122.0ms

Steps
ItersRangePoint
9
6.0823653822967506e+144
2.0032324652076645e+152
6.158470310373083e+144
8
-8.684978725317651e+167
-5.390693527040893e+163
-8.114676354067779e+166

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02547
13539
done3539

end0.0ms

sample1.2s

Algorithm
intervals
Results
765.0ms8306×body80valid