Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

350×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
26	4763
25	4510
24	4265
23	4014
22	3757
21	3520
20	3263
19	3002
18	2745
17	2490
16	2233
15	1990
14	1662
13	1313
12	944
11	612
10	421
9	272
8	188
7	154
6	133
5	108
4	73
3	41
2	24
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
5.9b	(/ (* y (- z t)) a)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

20.0ms	(+ x (/ (* y (- z t)) a))
29.0ms	(* y (- z t))
24.0ms	(/ (* y (- z t)) a)

series190.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ x (/ (* y (- z t)) a))
72.0ms	(* y (- z t))
56.0ms	(/ (* y (- z t)) a)

simplify2.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5072
3	3422
2	886
1	310
0	116

prune392.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
5.2b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
77.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt a)
311.0ms	(cbrt a)
234.0ms	(cbrt a)
112.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.8s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	2098
1	506
0	161

prune811.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.0b	(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp` `add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `flip3--` `pow1/3` `associate-/r/` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 75

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
7.0ms	(cbrt (- z t))
42.0ms	(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

series975.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (- z t))
235.0ms	(cbrt (- z t))
234.0ms	(cbrt (- z t))
282.0ms	(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

simplify2.7s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
3	3218
2	960
1	369
0	158

prune700.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
2×	`cbrt-div`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 48

Calls

4 calls:

3.0ms	(cbrt (- z t))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt (- z t))
317.0ms	(cbrt y)
266.0ms	(cbrt y)
250.0ms	(cbrt y)

simplify2.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5003
4	2695
3	898
2	380
1	180
0	89

prune520.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes732.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

511.0ms

10715×

body

valid