Details

Time bar (total: 8.8s)

sample24.0ms

Algorithm
intervals
Results
10.0ms360×body80valid

simplify512.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2329
3659
41389
52139
62669
73089
83909
94799
104839
done4839

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
7.3b
(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
10.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series87.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
48.0ms
(/ (* y (- z t)) a)

simplify2.2s

Counts
55 → 55
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
094493
1231473
2855399
34643399
done5000399

prune126.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
5.3b
(/ y (/ a (- z t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
6.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ a (- z t))
53.0ms
(/ y (/ a (- z t)))

simplify804.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
02232062
14821930
218461854
done50001854

prune375.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.7b
(* (/ y a) (- z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
16.0ms
(* (/ y a) (- z t))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (/ y a) (- z t))

simplify1.4s

Counts
45 → 45
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
099475
1253466
2850410
33053410
done5000410

prune107.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.3b
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.7b
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
109.0ms
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
34.0ms
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- z t))
152.0ms
(cbrt (- z t))
56.0ms
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
98.0ms
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify712.0ms

Counts
176 → 176
Iterations

Useful iterations: 2 (258.0ms)

IterNodesCost
02964235
17634081
221613651
done50003651

prune695.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes305.0ms

Accuracy

40.5% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02143
12343
done2343

end0.0ms

sample606.0ms

Algorithm
intervals
Results
300.0ms10683×body80valid