Details

Time bar (total: 8.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3639
41249
52049
63279
74949
87769
910229
1010389
done10389

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.6b
(/ x (* (- y z) (- t z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
17.0ms
(* (- y z) (- t z))
7.0ms
(/ x (* (- y z) (- t z)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- y z) (- t z))
126.0ms
(/ x (* (- y z) (- t z)))

simplify439.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
0124860
1300844
21214756
done5000756

prune160.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
41.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series690.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
182.0ms
(cbrt x)
176.0ms
(cbrt x)
145.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify783.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (313.0ms)

IterNodesCost
01801821
15351741
221111345
done50001345

prune339.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- t z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
16.0ms
(/ (/ x (- y z)) (- t z))

series157.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ x (- y z))
128.0ms
(/ (/ x (- y z)) (- t z))

simplify755.0ms

Counts
191 → 191
Iterations

Useful iterations: 2 (249.0ms)

IterNodesCost
02643352
16373172
218463096
done50003096

prune415.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.2b
(/ 1 (/ (- y z) x))
2.1b
(/ (/ 1 (/ (- y z) x)) (- t z))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
1054×times-frac
680×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
133×distribute-lft-out-- difference-of-squares
70×associate-/l*
35×add-exp-log
31×div-inv
27×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
9×associate-/r/
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num associate-/l/ add-log-exp
2×flip3-- flip--
1×pow-flip div-sub inv-pow
Counts
3 → 538
Calls
3 calls:
7.0ms
(/ (- y z) x)
9.0ms
(/ 1 (/ (- y z) x))
35.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

series312.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- y z) x)
68.0ms
(/ 1 (/ (- y z) x))
218.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

simplify1.6s

Counts
547 → 547
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
066912152
1176410302
236449278
done50019278

prune659.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

11.7% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.6b

bsearch72.0ms

Steps
ItersRangePoint
8
1.3542269813719534e-125
1.8136824079598192e-122
1.5692981510658075e-125
9
5.608873078538286e-259
9.226920354819254e-253
4.0510841144545337e-255

simplify2.0ms

Iterations

Useful iterations: done (2.0ms)

IterNodesCost
02343
12741
done2739

end0.0ms

sample427.0ms

Algorithm
intervals
Results
219.0ms8452×body80valid