Details

sample106.0ms

Algorithm

intervals

Results

29.0ms	109×	body	320	valid
25.0ms	142×	body	160	valid
22.0ms	253×	body	80	nan
4.0ms	5×	body	80	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5383	36

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 37.5b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
8.4b	(cbrt (* 1.0 (/ (- (sqrt (- (* g g) (* h h))) g) (* 2.0 a))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `cbrt-div` `flip3--` `sqrt-pow1` `pow1/2` `pow1/3` `associate-*r/` `flip--` `difference-of-squares`

Counts

4 → 52

Calls

4 calls:

15.0ms	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
10.0ms	(cbrt (* 1.0 (/ (- (sqrt (- (* g g) (* h h))) g) (* 2.0 a))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
60.0ms	(cbrt (* 1.0 (/ (- (sqrt (- (* g g) (* h h))) g) (* 2.0 a))))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify46.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4926	855
1	4926	855

prune253.0ms

Filtered

56 candidates to 64 candidates (-14.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	46	18	64
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	47	19	66

Merged error: 33.2b

Counts

66 → 19

localize21.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
8.4b	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-prod` `sub-neg` `cbrt-div` `pow1/3` `diff-log` `associate-*r/`

Counts

4 → 55

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
12.0ms	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
4.0ms	(sqrt (- (* g g) (* h h)))
6.0ms	(sqrt (- (* g g) (* h h)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* g g) (* h h))
59.0ms	(cbrt (* 1.0 (/ (- (neg g) (sqrt (- (* g g) (* h h)))) (* 2.0 a))))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify25.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5841	759

prune240.0ms

Filtered

55 candidates to 67 candidates (-21.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	67	19	86

Merged error: 33.0b

Counts

86 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* g g) (* h h))
8.4b	(cbrt (* 1.0 (/ (- (sqrt (- (* g g) (* h h))) g) (* 2.0 a))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-prod` `sub-neg` `cbrt-div` `pow1/3` `diff-log` `associate-*r/`

Counts

4 → 55

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
10.0ms	(cbrt (* 1.0 (/ (- (sqrt (- (* g g) (* h h))) g) (* 2.0 a))))
4.0ms	(sqrt (- (* g g) (* h h)))
5.0ms	(sqrt (- (* g g) (* h h)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
61.0ms	(cbrt (* 1.0 (/ (- (sqrt (- (* g g) (* h h))) g) (* 2.0 a))))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify25.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5896	745

prune233.0ms

Filtered

55 candidates to 67 candidates (-21.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	2	16	18
Picked	0	1	1
Done	0	0	0
Total	67	19	86

Merged error: 32.9b

Counts

86 → 19

localize19.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
8.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
31.0b	(sqrt (- (* g g) (* h h)))
31.0b	(sqrt (- (* g g) (* h h)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `frac-times` `flip3--` `sqrt-div` `associate-*r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `associate-*l/` `flip-+` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
13.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
4.0ms	(sqrt (- (* g g) (* h h)))
6.0ms	(sqrt (- (* g g) (* h h)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
73.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify35.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5298	1054

prune163.0ms

Filtered

65 candidates to 72 candidates (-10.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	6	11	17
Picked	1	0	1
Done	0	1	1
Total	73	18	91

Merged error: 32.5b

Counts

91 → 18

Details

sample106.0ms

simplify80.0ms

prune13.0ms

localize20.0ms

rewrite35.0ms

series139.0ms

simplify46.0ms

prune253.0ms

localize21.0ms

rewrite29.0ms

series84.0ms

simplify25.0ms

prune240.0ms

localize24.0ms

rewrite24.0ms

series83.0ms

simplify25.0ms

prune233.0ms

localize19.0ms

rewrite39.0ms

series161.0ms

simplify35.0ms

prune163.0ms

regimes791.0ms

bsearch35.0ms

Profiling