Details

sample19.0ms

Algorithm

intervals

Results

9.0ms	318×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	50	4
2	148	4
3	318	4
4	473	4
5	485	4
6	485	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(fma d1 d2 (* (+ d3 5.0) d1))
0.0b	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

9.0ms	(* (+ d3 5.0) d1)
1.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
1.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (+ d3 5.0) d1)
32.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
43.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	157	218
1	553	192
2	2658	192
3	5001	192

prune134.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 d3 (* d1 d2))
0.0b	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma d1 d3 (* d1 d2))
1.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma d1 d3 (* d1 d2))
39.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify31.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	101
1	148	89
2	789	89
3	5001	89

prune64.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 103

Calls

4 calls:

9.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
3.0ms	(cbrt (+ d3 5.0))
3.0ms	(cbrt (+ d3 5.0))
3.0ms	(cbrt (+ d3 5.0))

series360.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
86.0ms	(cbrt (+ d3 5.0))
83.0ms	(cbrt (+ d3 5.0))
84.0ms	(cbrt (+ d3 5.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	341	819
1	1143	770
2	5001	695

prune358.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
11.9b	(cbrt (- (* d3 d3) (* 5.0 5.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
33×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr`
8×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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` `flip3--` `pow-plus` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

10.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
3.0ms	(cbrt (+ d3 5.0))
3.0ms	(cbrt (+ d3 5.0))
4.0ms	(cbrt (- (* d3 d3) (* 5.0 5.0)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
87.0ms	(cbrt (+ d3 5.0))
87.0ms	(cbrt (+ d3 5.0))
186.0ms	(cbrt (- (* d3 d3) (* 5.0 5.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	482	859
1	1684	809
2	5001	756

prune626.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample475.0ms

Algorithm

intervals

Results

279.0ms	10115×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	11×	body	320	valid
1.0ms	6×	body	1280	valid
0.0ms	9×	body	160	valid