Details

Time bar (total: 9.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510811
615411
754411
8324711
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
12.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
2.0ms
(- x (* y z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- x (* y z))
61.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify975.0ms

Counts
50 → 50
Iterations

Useful iterations: done (974.0ms)

IterNodesCost
087724
1229706
2720652
32663652
done5000650

prune139.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.2b

localize9.0ms

Local error

Found 3 expressions with local error:

3.0b
(/ x (- t (* a z)))
3.1b
(* y (/ z (- t (* a z))))
8.6b
(/ z (- t (* a z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
15×associate-*r*
12×add-exp-log add-cbrt-cube
6×associate-/r* associate-/r/ associate-/l*
5×pow1
3×cbrt-undiv flip3-- div-exp associate-*l* flip-- div-inv add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 92
Calls
3 calls:
4.0ms
(/ x (- t (* a z)))
12.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ z (- t (* a z)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ x (- t (* a z)))
42.0ms
(* y (/ z (- t (* a z))))
59.0ms
(/ z (- t (* a z)))

simplify2.0s

Counts
101 → 101
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01371201
13081166
210031056
338221056
done50011054

prune277.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (- t (* a z)) z))
3.0b
(/ x (- t (* a z)))
3.1b
(* y (/ 1 (/ (- t (* a z)) z)))
8.5b
(/ (- t (* a z)) z)

rewrite49.0ms

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×rec-exp 1-exp associate-/r/ 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 → 208
Calls
4 calls:
7.0ms
(/ 1 (/ (- t (* a z)) z))
4.0ms
(/ x (- t (* a z)))
24.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
6.0ms
(/ (- t (* a z)) z)

series178.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1 (/ (- t (* a z)) z))
38.0ms
(/ x (- t (* a z)))
45.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
39.0ms
(/ (- t (* a z)) z)

simplify916.0ms

Counts
220 → 220
Iterations

Useful iterations: 2 (256.0ms)

IterNodesCost
02783288
16842808
217982491
done50002491

prune513.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (- (/ t z) (* a 1)))
3.0b
(/ x (- t (* a z)))
3.1b
(* y (/ 1 (- (/ t z) (* a 1))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×times-frac
28×*-un-lft-identity
27×add-cube-cbrt
18×add-exp-log
15×associate-*r*
12×add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l*
5×div-exp
4×prod-exp
3×cbrt-undiv flip3-- associate-*l* flip-- div-inv add-log-exp unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 100
Calls
3 calls:
13.0ms
(/ 1 (- (/ t z) (* a 1)))
4.0ms
(/ x (- t (* a z)))
30.0ms
(* y (/ 1 (- (/ t z) (* a 1))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ 1 (- (/ t z) (* a 1)))
35.0ms
(/ x (- t (* a z)))
34.0ms
(* y (/ 1 (- (/ t z) (* a 1))))

simplify1.6s

Counts
109 → 109
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01561443
13641112
2983998
32975998
done5000996

prune254.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.6b

regimes175.0ms

Accuracy

76.4% (0.3b remaining)

Error of 1.8b against oracle of 1.5b and baseline of 2.8b

bsearch82.0ms

Steps
ItersRangePoint
7
4.981396198448609e-28
2.306892030578603e-26
2.7203534373703028e-27
9
-2.2464721268920098e-89
-2.524891899216744e-94
-2.0099085297249333e-90

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02455
13237
done3237

end0.0ms

sample523.0ms

Algorithm
intervals
Results
270.0ms8669×body80valid