Details

Time bar (total: 14.7s)

sample38.0ms

Algorithm
intervals
Results
19.0ms267×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24011
38411
419811
538511
660911
791311
8112811
9149711
10155211
11155811
done155811

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.3b
(/ x (* (- y z) (- y t)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
66.0ms
(* (- y z) (- y t))
18.0ms
(/ x (* (- y z) (- y t)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (- y z) (- y t))
91.0ms
(/ x (* (- y z) (- y t)))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01771460
13901272
213911098
done50001074

prune213.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.6b
(/ (/ x (- y z)) (- y t))

rewrite91.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
17.0ms
(/ x (- y z))
56.0ms
(/ (/ x (- y z)) (- y t))

series118.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (- y z))
82.0ms
(/ (/ x (- y z)) (- y t))

simplify1.2s

Counts
195 → 195
Iterations

Useful iterations: 2 (320.0ms)

IterNodesCost
02683384
16463198
216733122
done50003122

prune801.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.3b
(/ x (* (- y z) (- y t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
40.0ms
(* (- y z) (- y t))
18.0ms
(/ x (* (- y z) (- y t)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- y z) (- y t))
68.0ms
(/ x (* (- y z) (- y t)))

simplify839.0ms

Counts
91 → 91
Iterations

Useful iterations: done (836.0ms)

IterNodesCost
01771460
13901272
213911098
done50001074

prune186.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(/ (/ (cbrt x) (- y z)) (- y t))
5.8b
(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (- y z)) (- y t)))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
695×times-frac
554×add-sqr-sqrt
545×*-un-lft-identity
267×add-cube-cbrt
186×associate-*r*
172×cbrt-prod
139×distribute-lft-out-- difference-of-squares
36×associate-/l*
30×add-exp-log
26×associate-/r/
21×add-cbrt-cube
13×flip3-- flip-- div-inv
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
5×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down
2×pow1/3
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
4 → 482
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
55.0ms
(/ (/ (cbrt x) (- y z)) (- y t))
155.0ms
(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (- y z)) (- y t)))

series914.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt x)
301.0ms
(cbrt x)
244.0ms
(/ (/ (cbrt x) (- y z)) (- y t))
106.0ms
(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (- y z)) (- y t)))

simplify865.0ms

Counts
494 → 494
Iterations

Useful iterations: done (842.0ms)

IterNodesCost
05169843
115459165
done50008717

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
done1011

end0.0ms

sample1.0s

Algorithm
intervals
Results
655.0ms8463×body80valid