Details

sample36.0ms

Algorithm

intervals

Results

11.0ms

331×

body

valid

simplify627.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	46	9
4	85	9
5	114	9
6	129	9
7	142	9
8	175	9
9	232	9
10	261	9
11	298	9
12	329	9
13	339	9
done	339	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.4b	(/ (* y (- z t)) a)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

16.0ms	(+ x (/ (* y (- z t)) a))
27.0ms	(* y (- z t))
17.0ms	(/ (* y (- z t)) a)

series206.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (/ (* y (- z t)) a))
56.0ms	(* y (- z t))
69.0ms	(/ (* y (- z t)) a)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	116	722
1	297	679
2	909	589
3	4421	589
done	5001	589

prune152.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

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` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
68.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series925.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt a)
297.0ms	(cbrt a)
288.0ms	(cbrt a)
116.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.2s

Counts

116 → 116

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	161	1577
1	459	1499
2	1984	1153
done	5000	1056

prune470.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) a)))
0.0b	(/ (- z t) a)
6.7b	(* y (/ (- z t) a))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

15.0ms	(+ x (* y (/ (- z t) a)))
25.0ms	(/ (- z t) a)
45.0ms	(* y (/ (- z t) a))

series179.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (* y (/ (- z t) a)))
30.0ms	(/ (- z t) a)
72.0ms	(* y (/ (- z t) a))

simplify2.3s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	139	1051
1	341	980
2	991	914
3	3797	890
done	5000	890

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
7.0b	(/ y (/ a (- z t)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

50.0ms	(+ x (/ y (/ a (- z t))))
23.0ms	(/ a (- z t))
39.0ms	(/ y (/ a (- z t)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ x (/ y (/ a (- z t))))
46.0ms	(/ a (- z t))
75.0ms	(/ y (/ a (- z t)))

simplify1.4s

Counts

160 → 160

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	245	2291
1	534	2136
2	1799	2056
done	5000	2026

prune543.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes222.0ms

Accuracy

78% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch110.0ms

Steps

Iters	Range		Point
7	2.2404458759581851e+24	1.8367945092606406e+26	4.635323820368955e+24
10	-5.545825962496913e-23	-5.8877645159621785e-33	-5.38601116728621e-28

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	38
1	32	30
2	36	30
3	37	30
done	37	30

end0.0ms

sample1.7s

Algorithm

intervals

Results

520.0ms

10733×

body

valid