Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

277×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	3638
9	1242
8	657
7	374
6	278
5	190
4	116
3	61
2	33
1	18
0	10

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.6b	(fma (/ (- z t) (- z a)) y x)

rewrite47.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

42.0ms	(/ (- z t) (- z a))
1.0ms	(fma (/ (- z t) (- z a)) y x)

series257.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(/ (- z t) (- z a))
149.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4799
2	831
1	266
0	113

prune370.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a))) y x)
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))

series864.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(fma (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a))) y x)
223.0ms	(cbrt (- z t))
274.0ms	(cbrt (- z t))
263.0ms	(cbrt (- z t))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	1610
2	488
1	192
0	93

prune587.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (+ z a))
0.1b	(/ (/ (- z t) (+ z a)) (- z a))
0.6b	(fma (* (/ (/ (- z t) (+ z a)) (- z a)) (+ z a)) y x)
9.2b	(* (/ (/ (- z t) (+ z a)) (- z a)) (+ z a))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

508×	`*-un-lft-identity`
503×	`times-frac`
393×	`add-sqr-sqrt`
180×	`add-cube-cbrt`
136×	`associate-l`
102×	`distribute-lft-out--` `difference-of-squares`
62×	`distribute-lft-out`
31×	`associate-/l*`
28×	`associate-/r/`
20×	`add-cbrt-cube` `add-exp-log`
14×	`flip3-+` `flip-+` `div-inv`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `div-sub` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `fma-udef`

Counts

4 → 406

Calls

4 calls:

20.0ms	(/ (- z t) (+ z a))
59.0ms	(/ (/ (- z t) (+ z a)) (- z a))
0.0ms	(fma (* (/ (/ (- z t) (+ z a)) (- z a)) (+ z a)) y x)
157.0ms	(* (/ (/ (- z t) (+ z a)) (- z a)) (+ z a))

series301.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (- z t) (+ z a))
83.0ms	(/ (/ (- z t) (+ z a)) (- z a))
100.0ms	(fma (* (/ (/ (- z t) (+ z a)) (- z a)) (+ z a)) y x)
54.0ms	(* (/ (/ (- z t) (+ z a)) (- z a)) (+ z a))

simplify2.0s

Counts

418 → 418

Iterations

Iter	Nodes
done	5000
1	1579
0	396

prune2.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
9.9b	(/ (* y (- z t)) (- z a))

rewrite100.0ms

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

Counts

3 → 94

Calls

3 calls:

21.0ms	(+ x (/ (* y (- z t)) (- z a)))
32.0ms	(* y (- z t))
43.0ms	(/ (* y (- z t)) (- z a))

series280.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (/ (* y (- z t)) (- z a)))
54.0ms	(* y (- z t))
113.0ms	(/ (* y (- z t)) (- z a))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1994
1	475
0	182

prune615.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes497.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

577.0ms	8706×	body	80	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid