Details

Time bar (total: 14.6s)

sample28.0ms

Algorithm
intervals
Results
12.0ms321×body80valid

simplify187.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
33911
45811
57311
68711
710211
810811
911011
done11011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite342.0ms

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-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
59.0ms
(- (/ y z) (/ t (- 1.0 z)))
23.0ms
(/ t (- 1.0 z))
253.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series164.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (/ y z) (/ t (- 1.0 z)))
38.0ms
(/ t (- 1.0 z))
84.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify994.0ms

Counts
98 → 98
Iterations

Useful iterations: done (985.0ms)

IterNodesCost
01701300
14201249
214091177
done50011169

prune272.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
4.4b
(* x (- (/ t (- 1.0 z))))
6.7b
(* x (/ y z))

rewrite152.0ms

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-exp-log add-cbrt-cube
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 flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
23.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
17.0ms
(/ t (- 1.0 z))
66.0ms
(* x (- (/ t (- 1.0 z))))
34.0ms
(* x (/ y z))

series282.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
38.0ms
(/ t (- 1.0 z))
95.0ms
(* x (- (/ t (- 1.0 z))))
26.0ms
(* x (/ y z))

simplify2.1s

Counts
159 → 159
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02701774
17451620
231241526
done50001519

prune538.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
3.3b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.4b
(* x (- (/ t (- 1.0 z))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
68×associate-*r*
58×times-frac
53×*-un-lft-identity
41×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
17×cbrt-prod
10×associate-*l*
9×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp unswap-sqr
6×distribute-lft-out-- difference-of-squares
4×associate-/r/ div-inv add-log-exp
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×frac-times neg-mul-1 associate-*l/ distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 144
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
71.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
72.0ms
(* x (- (/ t (- 1.0 z))))

series763.0ms

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt z)
295.0ms
(cbrt z)
64.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
76.0ms
(* x (- (/ t (- 1.0 z))))

simplify3.5s

Counts
156 → 156
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
02721858
18411767
248061475
done50001475

prune766.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.2b
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
3.2b
(* (/ x (cbrt z)) (/ y (cbrt z)))
4.4b
(* x (- (/ t (- 1.0 z))))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
96×times-frac
95×add-exp-log
76×*-un-lft-identity
69×associate-*r*
64×add-cube-cbrt
47×associate-*l*
42×add-cbrt-cube
41×prod-exp
36×cbrt-prod
30×div-exp
23×cbrt-unprod
21×distribute-lft-neg-in distribute-rgt-neg-in
17×cbrt-undiv
13×pow1
10×unswap-sqr
7×associate-*r/
6×frac-times distribute-lft-out-- difference-of-squares
5×rec-exp 1-exp pow-prod-down div-inv
4×associate-*l/ associate-/r/ add-log-exp
3×*-commutative
2×flip3-- flip--
1×neg-mul-1 pow1/3 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 217
Calls
4 calls:
1.0ms
(cbrt z)
83.0ms
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
54.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))
90.0ms
(* x (- (/ t (- 1.0 z))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt z)
87.0ms
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
228.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))
112.0ms
(* x (- (/ t (- 1.0 z))))

simplify755.0ms

Counts
229 → 229
Iterations

Useful iterations: done (749.0ms)

IterNodesCost
03703091
111822913
done50012491

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes237.0ms

Accuracy

-19.1% (4.4b remaining)

Error of 4.4b against oracle of 0.0b and baseline of 3.7b

bsearch104.0ms

Steps
ItersRangePoint
6
4.8042840213529746e-49
4.6679648833045465e-48
5.068989222201374e-49
8
-5.604514408521323e-293
-1.296552562754957e-295
-2.888119603159992e-295

simplify20.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03066
14466
24866
34966
done4966

end0.0ms

sample1.1s

Algorithm
intervals
Results
565.0ms10102×body80valid