Details

sample31.0ms

Algorithm

intervals

Results

10.0ms

284×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	103	10
5	163	10
6	214	10
7	241	10
8	280	10
9	321	10
10	406	10
11	504	10
12	572	10
13	636	10
14	664	10
done	664	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.3b	(* y (/ (- z t) (- z a)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

15.0ms	(+ x (* y (/ (- z t) (- z a))))
33.0ms	(/ (- z t) (- z a))
85.0ms	(* y (/ (- z t) (- z a)))

series736.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (* y (/ (- z t) (- z a))))
71.0ms	(/ (- z t) (- z a))
552.0ms	(* y (/ (- z t) (- z a)))

simplify2.5s

Counts

131 → 131

Iterations

Useful iterations: 2 (258.0ms)

Iter	Nodes	Cost
0	168	1615
1	431	1512
2	1219	1414
3	3960	1414
done	5000	1414

prune436.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.0b	(fma (/ (- z t) (- z a)) y x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

46.0ms	(/ (- z t) (- z a))
1.0ms	(fma (/ (- z t) (- z a)) y x)

series180.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ (- z t) (- z a))
117.0ms	(fma (/ (- z t) (- z a)) y x)

simplify3.9s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	113	884
1	261	856
2	628	808
3	1605	808
4	4736	806
done	5000	806

prune260.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
22×	`add-exp-log` `associate-*r/`
16×	`frac-times` `add-cbrt-cube`
15×	`cbrt-prod` `flip3--` `flip--`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 95

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
7.0ms	(cbrt (- z t))
359.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a))))

series905.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt (- z t))
276.0ms	(cbrt (- z t))
242.0ms	(cbrt (- z t))
119.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a))))

simplify4.0s

Counts

107 → 107

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	171	1738
1	429	1701
2	1341	1319
3	4425	1173
done	5002	1143

prune471.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- z a)))
12.1b	(/ (* y (- z t)) (- z a))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

25.0ms	(* y (- z t))
28.0ms	(+ x (/ (* y (- z t)) (- z a)))
47.0ms	(/ (* y (- z t)) (- z a))

series309.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* y (- z t))
135.0ms	(+ x (/ (* y (- z t)) (- z a)))
129.0ms	(/ (* y (- z t)) (- z a))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	182	1394
1	426	1177
2	1240	1009
done	5001	972

prune302.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes230.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample924.0ms

Algorithm

intervals

Results

372.0ms	8736×	body	80	valid
0.0ms	1×	body	1280	valid