Details

sample21.0ms

Algorithm

intervals

Results

11.0ms	313×	body	80	valid
0.0ms	2×	body	1280	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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

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:

1.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
1.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))
6.0ms	(* (+ d3 5.0) d1)

series106.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
47.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))
26.0ms	(* (+ d3 5.0) d1)

simplify53.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

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

prune113.0ms

Filtered

52 candidates to 42 candidates (80.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize6.0ms

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)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify28.0ms

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

prune51.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ d3 5.0))
0.7b	(cbrt (+ d3 5.0))
0.7b	(cbrt (+ d3 5.0))
0.8b	(* (cbrt (+ d3 5.0)) (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:

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

series399.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (+ d3 5.0))
114.0ms	(cbrt (+ d3 5.0))
89.0ms	(cbrt (+ d3 5.0))
101.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	341	819
1	1150	770
2	5001	715

prune309.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Merged error: 0b

Counts

118 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0)))
0.0b	(fma 32.0 d1 (fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))))
6.0b	(* (- (* d3 d3) (* 5.0 5.0)) d1)
11.1b	(/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

1.0ms	(fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0)))
1.0ms	(fma 32.0 d1 (fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))))
6.0ms	(* (- (* d3 d3) (* 5.0 5.0)) d1)
9.0ms	(/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))

series286.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0)))
99.0ms	(fma 32.0 d1 (fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))))
39.0ms	(* (- (* d3 d3) (* 5.0 5.0)) d1)
62.0ms	(/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	367	645
1	1632	553
2	5001	542

prune191.0ms

Filtered

86 candidates to 68 candidates (79.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

regimes68.0ms

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

sample552.0ms

Algorithm

intervals

Results

346.0ms	10057×	body	80	valid
2.0ms	17×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	7×	body	1280	valid
1.0ms	8×	body	160	valid