Details

Time bar (total: 21.3s)

sample47.0ms

Algorithm
intervals
Results
20.0ms269×body80valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510611
615011
729711
8107911
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
11.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite56.0ms

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:
10.0ms
(- x (* y z))
44.0ms
(/ (- x (* y z)) (- t (* a z)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- x (* y z))
83.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.0s

Counts
50 → 50
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
087724
1231706
2731652
32493652
done5001652

prune195.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.7b

localize18.0ms

Local error

Found 3 expressions with local error:

3.3b
(* y (/ z (- t (* a z))))
3.7b
(/ x (- t (* a z)))
9.5b
(/ z (- t (* a z)))

rewrite58.0ms

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:
33.0ms
(* y (/ z (- t (* a z))))
9.0ms
(/ x (- t (* a z)))
9.0ms
(/ z (- t (* a z)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* y (/ z (- t (* a z))))
54.0ms
(/ x (- t (* a z)))
102.0ms
(/ z (- t (* a z)))

simplify2.4s

Counts
101 → 101
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01371201
13041166
28021056
321071056
done50001018

prune343.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ t z) a)
3.2b
(/ y (- (/ t z) a))
3.7b
(/ x (- t (* a z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
32×*-un-lft-identity times-frac
22×add-cube-cbrt
10×difference-of-squares
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×associate-/r/
3×pow1 flip3-- flip--
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×sub-neg diff-log
Counts
3 → 85
Calls
3 calls:
18.0ms
(- (/ t z) a)
30.0ms
(/ y (- (/ t z) a))
9.0ms
(/ x (- t (* a z)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (/ t z) a)
46.0ms
(/ y (- (/ t z) a))
41.0ms
(/ x (- t (* a z)))

simplify2.8s

Counts
94 → 94
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01511106
12951077
26851011
315171009
438531007
done50011007

prune378.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.7b
(/ 1 (- t (* a z)))
3.2b
(/ y (- (/ t z) a))
3.4b
(* x (/ 1 (- t (* a z))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
31×add-cube-cbrt
19×add-exp-log
15×associate-*r*
13×add-cbrt-cube
10×difference-of-squares
9×associate-/r*
7×pow1
6×associate-/r/ associate-/l* add-log-exp
5×div-exp distribute-lft-out--
4×flip3-- prod-exp flip--
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 127
Calls
4 calls:
30.0ms
(- (/ t z) a)
10.0ms
(/ 1 (- t (* a z)))
25.0ms
(/ y (- (/ t z) a))
51.0ms
(* x (/ 1 (- t (* a z))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (/ t z) a)
65.0ms
(/ 1 (- t (* a z)))
56.0ms
(/ y (- (/ t z) a))
54.0ms
(* x (/ 1 (- t (* a z))))

simplify3.4s

Counts
139 → 139
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
01871611
13951451
28381327
318331325
447061323
done50001323

prune411.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.4b

regimes291.0ms

Accuracy

75.6% (0.4b remaining)

Error of 1.9b against oracle of 1.5b and baseline of 3.0b

bsearch123.0ms

Steps
ItersRangePoint
7
1.415955444489259e-65
2.0092364146751114e-63
1.2951673323918204e-63
11
-4.146817943517453e+81
-1.854954349316386e+59
-1.8731594079212337e+59

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02457
13337
done3337

end0.0ms

sample1.3s

Algorithm
intervals
Results
777.0ms8682×body80valid