Details

Time bar (total: 26.6s)

sample46.0ms

Algorithm
intervals
Results
23.0ms273×body80valid

simplify6.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
732611
8112411
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
13.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
18.0ms
(- t (* a z))
7.0ms
(- x (* y z))
22.0ms
(/ (- x (* y z)) (- t (* a z)))

series250.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- t (* a z))
67.0ms
(- x (* y z))
118.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify3.7s

Counts
83 → 83
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01201022
1297996
2868905
32865897
done5000859

prune328.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.4b
(/ x (- t (* a z)))
2.7b
(* y (/ z (- t (* a z))))
7.7b
(/ z (- t (* a z)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
46×times-frac
42×add-cube-cbrt *-un-lft-identity
15×fma-neg associate-*r* prod-diff
13×add-exp-log add-cbrt-cube
10×associate-/r/
6×pow1 flip3-- associate-/r* flip-- associate-/l* add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv associate-*r/ div-exp associate-*l*
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 144
Calls
4 calls:
78.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
14.0ms
(/ x (- t (* a z)))
50.0ms
(* y (/ z (- t (* a z))))
11.0ms
(/ z (- t (* a z)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
54.0ms
(/ x (- t (* a z)))
70.0ms
(* y (/ z (- t (* a z))))
82.0ms
(/ z (- t (* a z)))

simplify2.9s

Counts
156 → 156
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01902541
14452451
212462205
340742153
done50022140

prune686.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (- t (* a z)))
2.4b
(/ x (- t (* a z)))
2.7b
(* y (* z (/ 1 (- t (* a z)))))
7.0b
(* z (/ 1 (- t (* a z))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×add-exp-log
30×*-un-lft-identity
29×add-cube-cbrt times-frac
22×add-cbrt-cube
16×associate-*r*
13×prod-exp
12×pow1
7×div-exp cbrt-unprod
6×associate-*l* associate-/r* associate-/r/ associate-/l*
4×cbrt-undiv expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
3×rec-exp flip3-- 1-exp flip-- div-inv unswap-sqr
2×frac-2neg clear-num un-div-inv *-commutative
1×pow-flip inv-pow
Counts
4 → 132
Calls
4 calls:
14.0ms
(/ 1 (- t (* a z)))
18.0ms
(/ x (- t (* a z)))
60.0ms
(* y (* z (/ 1 (- t (* a z)))))
59.0ms
(* z (/ 1 (- t (* a z))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(/ 1 (- t (* a z)))
73.0ms
(/ x (- t (* a z)))
84.0ms
(* y (* z (/ 1 (- t (* a z)))))
94.0ms
(* z (/ 1 (- t (* a z))))

simplify3.5s

Counts
144 → 144
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01701702
13771484
29651290
328691287
done50001285

prune546.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (/ z (- t (* a z))) (cbrt y))
2.3b
(* (* (cbrt y) (cbrt y)) (* (/ z (- t (* a z))) (cbrt y)))
2.4b
(/ x (- t (* a z)))
7.7b
(/ z (- t (* a z)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×add-exp-log
29×add-cube-cbrt *-un-lft-identity times-frac
22×add-cbrt-cube
18×pow1
16×associate-*l*
15×prod-exp cbrt-unprod
9×pow-prod-down
7×associate-*r*
6×associate-/r* associate-/r/ associate-/l*
5×cbrt-undiv cbrt-prod div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×flip3-- flip-- div-inv
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 132
Calls
4 calls:
34.0ms
(* (/ z (- t (* a z))) (cbrt y))
122.0ms
(* (* (cbrt y) (cbrt y)) (* (/ z (- t (* a z))) (cbrt y)))
30.0ms
(/ x (- t (* a z)))
13.0ms
(/ z (- t (* a z)))

series530.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (/ z (- t (* a z))) (cbrt y))
119.0ms
(* (* (cbrt y) (cbrt y)) (* (/ z (- t (* a z))) (cbrt y)))
62.0ms
(/ x (- t (* a z)))
95.0ms
(/ z (- t (* a z)))

simplify3.9s

Counts
144 → 144
Iterations

Useful iterations: done (3.9s)

IterNodesCost
01872008
14421962
213221604
341561508
done50001506

prune657.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.7b

regimes233.0ms

Accuracy

66.6% (0.6b remaining)

Error of 7.0b against oracle of 6.5b and baseline of 8.2b

bsearch100.0ms

Steps
ItersRangePoint
8
1.5891985903824807e+43
2.145170715615829e+46
1.8396219109769443e+43
7
-6.970957128274147e-38
-1.3992557705202746e-39
-4.1460174760347416e-38

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02569
13346
done3346

end0.0ms

sample1.2s

Algorithm
intervals
Results
612.0ms8737×body80valid