Details

Time bar (total: 11.8s)

sample37.0ms

Algorithm
intervals
Results
16.0ms272×body80valid

simplify475.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
7631
6205
5108
480
352
238
119
010

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* flip3-- flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 44
Calls
2 calls:
4.0ms
(- t (* a z))
16.0ms
(/ (- x (* y z)) (- t (* a z)))

series175.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- t (* a z))
118.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.8s

Counts
50 → 50
Iterations
IterNodes
done5000
34657
2842
1226
085

prune303.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* z (/ y (- t (* a z)))))
1.0b
(/ x (- t (* a z)))
1.2b
(/ y (- t (* a z)))
7.4b
(* z (/ y (- t (* a z))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity times-frac add-cube-cbrt
15×associate-*r*
13×add-cbrt-cube add-exp-log
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv div-exp associate-*l* associate-*r/ div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
39.0ms
(- (/ x (- t (* a z))) (* z (/ y (- t (* a z)))))
8.0ms
(/ x (- t (* a z)))
7.0ms
(/ y (- t (* a z)))
18.0ms
(* z (/ y (- t (* a z))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (/ x (- t (* a z))) (* z (/ y (- t (* a z)))))
41.0ms
(/ x (- t (* a z)))
40.0ms
(/ y (- t (* a z)))
80.0ms
(* z (/ y (- t (* a z))))

simplify632.0ms

Counts
118 → 118
Iterations
IterNodes
done5000
21497
1393
0159

prune752.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (/ (- t (* a z)) y))
1.0b
(/ x (- t (* a z)))
1.2b
(/ (- t (* a z)) y)
7.4b
(* z (/ 1 (/ (- t (* a z)) y)))

rewrite81.0ms

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×clear-num frac-2neg associate-*l* cbrt-unprod
2×flip3-- flip-- associate-/l/
1×div-sub pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 208
Calls
4 calls:
13.0ms
(/ 1 (/ (- t (* a z)) y))
7.0ms
(/ x (- t (* a z)))
11.0ms
(/ (- t (* a z)) y)
37.0ms
(* z (/ 1 (/ (- t (* a z)) y)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(/ 1 (/ (- t (* a z)) y))
63.0ms
(/ x (- t (* a z)))
73.0ms
(/ (- t (* a z)) y)
188.0ms
(* z (/ 1 (/ (- t (* a z)) y)))

simplify1.3s

Counts
220 → 220
Iterations
IterNodes
done5002
23958
1778
0278

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ z (/ (- t (* a z)) y)))
1.0b
(/ x (- t (* a z)))
1.2b
(/ (- t (* a z)) y)
7.4b
(/ z (/ (- t (* a z)) y))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
83×add-sqr-sqrt
68×*-un-lft-identity
62×add-cube-cbrt
19×associate-/r*
13×add-cbrt-cube add-exp-log
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1
3×clear-num frac-2neg flip3-- associate-/r/ flip--
2×distribute-lft-out-- associate-/l/
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
68.0ms
(- (/ x (- t (* a z))) (/ z (/ (- t (* a z)) y)))
10.0ms
(/ x (- t (* a z)))
11.0ms
(/ (- t (* a z)) y)
10.0ms
(/ z (/ (- t (* a z)) y))

series418.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(- (/ x (- t (* a z))) (/ z (/ (- t (* a z)) y)))
55.0ms
(/ x (- t (* a z)))
69.0ms
(/ (- t (* a z)) y)
160.0ms
(/ z (/ (- t (* a z)) y))

simplify844.0ms

Counts
162 → 162
Iterations
IterNodes
done5002
23008
1642
0250

prune840.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.8b

regimes593.0ms

Accuracy

8.3% (5.7b remaining)

Error of 9.7b against oracle of 4.0b and baseline of 10.3b

bsearch448.0ms

Steps
ItersRangePoint
10
6.848267117263203e-32
5.532571221442674e-18
1.3943114720850475e-25
3
1.785397288432207e-232
2.232374226635529e-232
2.204438167997821e-232
4
-2.6413788210006168e-48
-1.410343485698952e-48
-1.9873912991216076e-48
10
-2.4167219913055905e+35
-6.2573470230411204e+22
-5.886184410679516e+26

simplify10.0ms

Iterations
IterNodes
done52
352
249
146
038

end0.0ms

sample901.0ms

Algorithm
intervals
Results
449.0ms8734×body80valid