Details

Time bar (total: 15.7s)

sample24.0ms

Algorithm
intervals
Results
11.0ms319×body80valid

simplify91.0ms

Counts
1 → 1
Iterations
IterNodes
done108
9108
8105
799
685
573
458
339
225
115
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*l* associate-*r/ flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
17.0ms
(/ t (- 1.0 z))
62.0ms
(- (/ y z) (/ t (- 1.0 z)))
142.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series165.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ t (- 1.0 z))
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
79.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.5s

Counts
98 → 98
Iterations
IterNodes
done5001
34804
21267
1409
0170

prune620.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
3.2b
(* x (- (/ t (- 1.0 z))))
6.6b
(* x (/ y z))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-cbrt-cube add-exp-log
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out cbrt-unprod flip-- associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative clear-num neg-mul-1 sum-log frac-2neg flip3-+ unsub-neg frac-add flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
18.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
16.0ms
(/ t (- 1.0 z))
87.0ms
(* x (- (/ t (- 1.0 z))))
15.0ms
(* x (/ y z))

series269.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
47.0ms
(/ t (- 1.0 z))
92.0ms
(* x (- (/ t (- 1.0 z))))
36.0ms
(* x (/ y z))

simplify2.1s

Counts
159 → 159
Iterations
IterNodes
done5002
22646
1732
0271

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.2b
(* t (/ 1 (- 1.0 z)))
3.2b
(* x (- (* t (/ 1 (- 1.0 z)))))
6.6b
(* x (/ y z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
49×*-un-lft-identity
42×times-frac
40×associate-*r*
34×add-cube-cbrt
24×add-exp-log
18×add-cbrt-cube
11×pow1
9×associate-*l*
7×prod-exp distribute-lft-out-- difference-of-squares
6×unswap-sqr
5×associate-/r* div-exp associate-*r/ cbrt-unprod
4×associate-/r/ add-log-exp
3×cbrt-undiv pow-prod-down *-commutative div-inv associate-/l*
2×rec-exp flip3-- 1-exp un-div-inv flip-- distribute-neg-frac
1×distribute-lft-neg-in clear-num neg-mul-1 distribute-rgt-neg-in frac-2neg distribute-rgt-neg-out pow-flip inv-pow
Counts
4 → 141
Calls
4 calls:
9.0ms
(/ 1 (- 1.0 z))
33.0ms
(* t (/ 1 (- 1.0 z)))
9.0ms
(* x (- (* t (/ 1 (- 1.0 z)))))
11.0ms
(* x (/ y z))

series180.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (- 1.0 z))
39.0ms
(* t (/ 1 (- 1.0 z)))
82.0ms
(* x (- (* t (/ 1 (- 1.0 z)))))
32.0ms
(* x (/ y z))

simplify1.7s

Counts
153 → 153
Iterations
IterNodes
done5001
22201
1636
0251

prune990.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

6.6b
(* x (/ y z))
14.5b
(cbrt (* x (/ y z)))
14.5b
(cbrt (* x (/ y z)))
14.5b
(cbrt (* x (/ y z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
9×add-cbrt-cube add-exp-log
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
12.0ms
(* x (/ y z))
8.0ms
(cbrt (* x (/ y z)))
8.0ms
(cbrt (* x (/ y z)))
9.0ms
(cbrt (* x (/ y z)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* x (/ y z))
119.0ms
(cbrt (* x (/ y z)))
100.0ms
(cbrt (* x (/ y z)))
115.0ms
(cbrt (* x (/ y z)))

simplify2.1s

Counts
74 → 74
Iterations
IterNodes
done5003
32685
2671
1238
0104

prune608.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes809.0ms

Accuracy

86.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.1b

bsearch2.0ms

simplify26.0ms

Iterations
IterNodes
done58
358
257
153
040

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s10123×body80valid