Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

349×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	1596
6	565
5	286
4	200
3	99
2	47
1	25
0	14

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma z 1.0 1) z)
0.1b	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

4.0ms	(/ (fma z 1.0 1) z)
0.0ms	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

series164.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (fma z 1.0 1) z)
92.0ms	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

simplify2.0s

Counts

45 → 45

Iterations

Iter	Nodes
done	5181
4	3437
3	870
2	325
1	134
0	77

prune237.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma z 1.0 1))
0.3b	(cbrt (fma z 1.0 1))
0.3b	(cbrt (fma z 1.0 1))
0.3b	(* (cbrt (fma z 1.0 1)) (cbrt (fma z 1.0 1)))

rewrite14.0ms

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:

1.0ms	(cbrt (fma z 1.0 1))
1.0ms	(cbrt (fma z 1.0 1))
1.0ms	(cbrt (fma z 1.0 1))
9.0ms	(* (cbrt (fma z 1.0 1)) (cbrt (fma z 1.0 1)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (fma z 1.0 1))
106.0ms	(cbrt (fma z 1.0 1))
109.0ms	(cbrt (fma z 1.0 1))
126.0ms	(* (cbrt (fma z 1.0 1)) (cbrt (fma z 1.0 1)))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	1945
2	745
1	303
0	128

prune690.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
12.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`fma-def`
14×	`add-cbrt-cube` `add-exp-log`
12×	`times-frac`
9×	`pow1`
8×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3-+` `pow-prod-down` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `sum-log` `div-exp` `associate-*r/` `div-inv` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3--` `associate-l` `frac-add` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 137

Calls

4 calls:

25.0ms	(* (* z 2.0) (- 1.0 t))
9.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
27.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
36.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series261.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* z 2.0) (- 1.0 t))
43.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
83.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
82.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify2.3s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	2142
1	646
0	224

prune789.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
12.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
12.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
12.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
9×	`associate-/l*`
7×	`cbrt-prod`
6×	`cbrt-undiv` `div-exp` `associate-/l/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
1×	`cbrt-div` `pow1/3`

Counts

4 → 93

Calls

4 calls:

9.0ms	(cbrt (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
39.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
24.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
29.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series528.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
88.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
107.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
99.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	1142
1	306
0	119

prune806.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes553.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

979.0ms

10508×

body

valid