Details

Time bar (total: 10.8s)

sample19.0ms

Algorithm
intervals
Results
6.0ms276×body80valid

simplify136.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4709
51009
61179
71329
81429
91479
done1479

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.8b
(* (/ (- x y) (- z y)) t)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
21.0ms
(/ (- x y) (- z y))
45.0ms
(* (/ (- x y) (- z y)) t)

series157.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- x y) (- z y))
102.0ms
(* (/ (- x y) (- z y)) t)

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01431303
13601269
29631185
328881185
done50001185

prune203.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
2.8b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
11.0ms
(/ 1 (- z y))
44.0ms
(* (- x y) (/ 1 (- z y)))
63.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series187.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- z y))
52.0ms
(* (- x y) (/ 1 (- z y)))
101.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify2.6s

Counts
128 → 128
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
01611461
13751188
212041026
345791026
done50001026

prune193.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.8b
(* (* 1 (/ (- x y) (- z y))) t)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt *-un-lft-identity
25×times-frac
18×add-exp-log
15×add-cube-cbrt
13×add-cbrt-cube
12×distribute-lft-out-- difference-of-squares
9×prod-exp
7×pow1
5×associate-/r* cbrt-unprod associate-/l*
3×div-exp associate-*r* pow-prod-down
2×cbrt-undiv flip3-- 1-exp associate-/r/ flip-- associate-/l/ add-log-exp
1×frac-2neg div-sub associate-*r/ associate-*l* associate-*l/ clear-num *-commutative div-inv
Counts
2 → 75
Calls
2 calls:
21.0ms
(/ (- x y) (- z y))
55.0ms
(* (* 1 (/ (- x y) (- z y))) t)

series153.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- x y) (- z y))
101.0ms
(* (* 1 (/ (- x y) (- z y))) t)

simplify1.9s

Counts
81 → 81
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
01361081
1317985
2904883
32864883
done5001883

prune146.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(* (* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y))) (cbrt t))
2.5b
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
37×associate-*r*
34×add-exp-log
26×times-frac
21×add-cbrt-cube
19×add-cube-cbrt
18×pow1
17×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
9×cbrt-prod pow-prod-down
4×cbrt-undiv div-exp add-log-exp
2×pow1/3 associate-*r/ associate-*l* associate-/r/ *-commutative unswap-sqr
1×flip3-- associate-*l/ flip-- div-inv
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
114.0ms
(* (* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y))) (cbrt t))
58.0ms
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt t)
170.0ms
(cbrt t)
89.0ms
(* (* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y))) (cbrt t))
227.0ms
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

simplify1.1s

Counts
116 → 116
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01531660
14171584
218041144
done50011067

prune224.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes189.0ms

Accuracy

3.6% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch71.0ms

Steps
ItersRangePoint
9
1.5907848767794871e-100
1.5643950702435846e-91
1.0296007835312908e-97
11
-7.435181494114933e-183
-1.5838670469572908e-205
-2.731528862364636e-192

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01839
12627
done2627

end0.0ms

sample486.0ms

Algorithm
intervals
Results
205.0ms8692×body80valid