Details

Time bar (total: 22.8s)

sample50.0ms

Algorithm
intervals
Results
20.0ms334×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1158
2338
3638
41108
51628
62108
72498
84958
914118
done50018

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.8b
(* (/ x y) (- z t))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
36.0ms
(+ (* (/ x y) (- z t)) t)
63.0ms
(* (/ x y) (- z t))

series165.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* (/ x y) (- z t)) t)
97.0ms
(* (/ x y) (- z t))

simplify2.6s

Counts
104 → 104
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01781645
15021330
224361142
done50021118

prune657.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
44×distribute-rgt-in distribute-lft-in
39×add-cbrt-cube
37×prod-exp cbrt-unprod
36×prod-diff
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times associate-*r/
5×associate-*l*
4×expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 142
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
182.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
332.0ms
(cbrt x)
329.0ms
(cbrt x)
339.0ms
(cbrt x)
93.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify778.0ms

Counts
154 → 154
Iterations

Useful iterations: done (768.0ms)

IterNodesCost
02704510
19784126
done50013394

prune926.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize114.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))
6.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))
6.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))
6.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))

rewrite567.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
44×distribute-rgt-in distribute-lft-in
39×add-cbrt-cube
37×prod-exp cbrt-unprod
36×frac-times associate-*r/ prod-diff
33×cbrt-div
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×cbrt-undiv div-exp
16×flip3-- flip--
12×associate-*l/
9×pow1
5×associate-*l*
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 pow-prod-down
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 169
Calls
4 calls:
164.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))
124.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))
135.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))
128.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))

series739.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))
212.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))
213.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))
218.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t))))

simplify878.0ms

Counts
181 → 181
Iterations

Useful iterations: done (866.0ms)

IterNodesCost
03126358
110035941
done50003427

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(/ (* (cbrt x) (- z t)) (cbrt y))
3.5b
(* (* (cbrt x) (cbrt x)) (/ (/ (* (cbrt x) (- z t)) (cbrt y)) (* (cbrt y) (cbrt y))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
33×add-cbrt-cube
32×prod-exp cbrt-unprod
23×times-frac
22×cbrt-undiv div-exp
16×add-sqr-sqrt
15×cbrt-prod
14×add-cube-cbrt *-un-lft-identity associate-*r*
9×pow1
6×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ pow-prod-down div-inv
2×pow1/3 associate-/l/ unswap-sqr
1×flip3-- frac-2neg associate-*l* clear-num *-commutative flip-- associate-/l*
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
39.0ms
(/ (* (cbrt x) (- z t)) (cbrt y))
138.0ms
(* (* (cbrt x) (cbrt x)) (/ (/ (* (cbrt x) (- z t)) (cbrt y)) (* (cbrt y) (cbrt y))))

series1.5s

Counts
4 → 12
Calls
4 calls:
395.0ms
(cbrt x)
339.0ms
(cbrt x)
643.0ms
(/ (* (cbrt x) (- z t)) (cbrt y))
85.0ms
(* (* (cbrt x) (cbrt x)) (/ (/ (* (cbrt x) (- z t)) (cbrt y)) (* (cbrt y) (cbrt y))))

simplify4.3s

Counts
127 → 127
Iterations

Useful iterations: done (4.3s)

IterNodesCost
02142290
16722182
241491613
done50021252

prune647.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes504.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01770
12170
done2170

end0.0ms

sample1.3s

Algorithm
intervals
Results
593.0ms10635×body80valid