Details

sample55.0ms

Algorithm

intervals

Results

20.0ms

391×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
19	4838
18	4587
17	4346
16	4107
15	3856
14	3609
13	3369
12	3118
11	2867
10	2598
9	2252
8	1712
7	1089
6	729
5	456
4	266
3	137
2	69
1	33
0	17

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* a b) 4.0)
0.0b	(- (fma y x c) (/ (* a b) 4.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`prod-diff`
20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt`
12×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
4×	`div-inv` `add-log-exp`
3×	`associate-/r*` `fma-neg`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod` `fma-udef` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/ (* a b) 4.0)
8.0ms	(- (fma y x c) (/ (* a b) 4.0))

series146.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (* a b) 4.0)
115.0ms	(- (fma y x c) (/ (* a b) 4.0))

simplify3.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4791
2	1121
1	346
0	136

prune646.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y x c)) (cbrt (fma y x c)))
0.6b	(cbrt (fma y x c))
0.6b	(cbrt (fma y x c))
0.6b	(cbrt (fma y x c))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (cbrt (fma y x c)) (cbrt (fma y x c)))
1.0ms	(cbrt (fma y x c))
1.0ms	(cbrt (fma y x c))
1.0ms	(cbrt (fma y x c))

series651.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (fma y x c)) (cbrt (fma y x c)))
150.0ms	(cbrt (fma y x c))
149.0ms	(cbrt (fma y x c))
155.0ms	(cbrt (fma y x c))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	1553
2	584
1	223
0	92

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* a b) 4.0)
0.0b	(sqrt (fma y x c))
0.0b	(sqrt (fma y x c))
0.2b	(fma (sqrt (fma y x c)) (sqrt (fma y x c)) (- (/ (* a b) 4.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `times-frac`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 63

Calls

4 calls:

15.0ms	(/ (* a b) 4.0)
2.0ms	(sqrt (fma y x c))
1.0ms	(sqrt (fma y x c))
0.0ms	(fma (sqrt (fma y x c)) (sqrt (fma y x c)) (- (/ (* a b) 4.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (* a b) 4.0)
99.0ms	(sqrt (fma y x c))
84.0ms	(sqrt (fma y x c))
875.0ms	(fma (sqrt (fma y x c)) (sqrt (fma y x c)) (- (/ (* a b) 4.0)))

simplify2.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5417
3	3679
2	853
1	278
0	118

prune652.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes916.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s

11929×

body

valid