Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

324×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	68	8
5	94	8
6	105	8
7	126	8
8	170	8
9	391	8
10	1517	8
done	5001	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x y (* (- x 1.0) z))
22.0ms	(* (- x 1.0) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma x y (* (- x 1.0) z))
31.0ms	(* (- x 1.0) z)

simplify4.1s

Counts

40 → 40

Iterations

Useful iterations: 3 (850.0ms)

Iter	Nodes	Cost
0	64	347
1	138	332
2	498	295
3	4974	293
done	5000	293

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

63.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
5.0ms	(cbrt (- x 1.0))

series527.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
119.0ms	(cbrt (- x 1.0))
123.0ms	(cbrt (- x 1.0))
130.0ms	(cbrt (- x 1.0))

simplify844.0ms

Counts

121 → 121

Iterations

Useful iterations: done (840.0ms)

Iter	Nodes	Cost
0	171	1613
1	413	1452
2	1556	1384
done	5000	1339

prune343.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

34.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
8.0ms	(cbrt (* (- x 1.0) z))
9.0ms	(cbrt (* (- x 1.0) z))
10.0ms	(cbrt (* (- x 1.0) z))

series468.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
101.0ms	(cbrt (* (- x 1.0) z))
124.0ms	(cbrt (* (- x 1.0) z))
98.0ms	(cbrt (* (- x 1.0) z))

simplify683.0ms

Counts

92 → 92

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	154	1639
1	391	1492
2	1257	1355
done	5000	1275

prune385.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.7b	(* (- (* x x) (* 1.0 1.0)) z)
6.1b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

9.0ms	(- (* x x) (* 1.0 1.0))
0.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
32.0ms	(* (- (* x x) (* 1.0 1.0)) z)
25.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series214.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* x x) (* 1.0 1.0))
66.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
42.0ms	(* (- (* x x) (* 1.0 1.0)) z)
64.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	130	1301
1	359	1253
2	2125	1069
done	5001	1058

prune291.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

766.0ms

10145×

body

valid