Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

281×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
29	4873
28	4661
27	4456
26	4244
25	4037
24	3825
23	3620
22	3408
21	3199
20	2984
19	2775
18	2560
17	2343
16	2094
15	1816
14	1445
13	1266
12	898
11	542
10	315
9	258
8	217
7	197
6	168
5	129
4	86
3	53
2	34
1	20
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.7b	(* y (/ (- z t) (- a t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 116

Calls

3 calls:

5.0ms	(+ x (* y (/ (- z t) (- a t))))
18.0ms	(/ (- z t) (- a t))
31.0ms	(* y (/ (- z t) (- a t)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ x (* y (/ (- z t) (- a t))))
85.0ms	(/ (- z t) (- a t))
99.0ms	(* y (/ (- z t) (- a t)))

simplify1.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5004
2	1371
1	442
0	165

prune647.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (/ (- z t) (- a t)))
1.3b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-*r/`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `div-inv` `flip--`

Counts

4 → 108

Calls

4 calls:

2.0ms	(cbrt y)
1.0ms	(cbrt y)
40.0ms	(* (cbrt y) (/ (- z t) (- a t)))
84.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

series858.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt y)
245.0ms	(cbrt y)
238.0ms	(* (cbrt y) (/ (- z t) (- a t)))
127.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

simplify2.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1426
1	412
0	152

prune575.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-exp-log`
79×	`prod-exp` `cbrt-unprod`
55×	`add-cbrt-cube`
48×	`cbrt-undiv` `div-exp`
16×	`pow1`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow-prod-down`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r` `associate-l` `associate-l/` `-commutative`

Counts

4 → 118

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
306.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (cbrt y) (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

series746.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (- a t))
195.0ms	(cbrt (- a t))
165.0ms	(cbrt (- a t))
203.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (cbrt y) (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

simplify2.2s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	2400
1	643
0	220

prune649.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- a t))
7.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))

series799.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (- z t))
215.0ms	(cbrt (- a t))
214.0ms	(cbrt (- a t))
185.0ms	(cbrt (- a t))

simplify1.8s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
4	2472
3	981
2	468
1	233
0	116

prune717.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes647.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample974.0ms

Algorithm

intervals

Results

635.0ms	8739×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid