Details

analyze4.3s (20.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5056	1978
0	10	10
1	10	10

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

Compiler

Compiled 32 to 30 computations (6.3% saved)

sample194.0ms (0.9%)

Algorithm

1×

intervals

Results

48.0ms	256×	body	128	invalid
37.0ms	256×	body	128	valid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify791.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (782.0ms)

Iter	Nodes	Cost
0	3064	43
1	3064	43

prune9.0ms (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

Error

5.4b

Counts

2 → 1

Compiler

Compiled 58 to 56 computations (3.4% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.5b	(.f64 (.f64 j 27) k)
2.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
6.4b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite71.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
13×	`prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
12×	`associate-r_binary64_21160`
11×	`add-sqr-sqrt_binary64_21242`
9×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
6×	`associate-l_binary64_21161`
4×	`add-log-exp_binary64_21259` `*-commutative_binary64_21151`
2×	`distribute-lft-in_binary64_21169` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `associate-*r/_binary64_21162` `distribute-rgt-in_binary64_21170`
1×	`flip3--_binary64_21224` `flip--_binary64_21195` `unswap-sqr_binary64_21188`

Counts

4 → 81

Calls

4 calls:

25.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
12.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
9.0ms	(.f64 (.f64 x 18) y)
9.0ms	(.f64 (.f64 j 27) k)

series1.1s (5.2%)

Counts

4 → 48

Calls

4 calls:

675.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
220.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
105.0ms	(.f64 (.f64 x 18) y)
98.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 2416 to 2330 computations (3.6% saved)

simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5160	1684

prune345.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	7	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	7	130

Error

2.5b

Counts

130 → 7

Compiler

Compiled 4281 to 2642 computations (38.3% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 18 y))
0.5b	(.f64 (.f64 j 27) k)
2.4b	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
6.4b	(.f64 (.f64 x (*.f64 18 y)) z)

rewrite63.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
13×	`prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
11×	`add-sqr-sqrt_binary64_21242`
10×	`associate-r_binary64_21160`
9×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
8×	`associate-l_binary64_21161`
4×	`add-log-exp_binary64_21259` `*-commutative_binary64_21151`
2×	`distribute-lft-in_binary64_21169` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `associate-*r/_binary64_21162` `distribute-rgt-in_binary64_21170`
1×	`flip3--_binary64_21224` `flip--_binary64_21195` `unswap-sqr_binary64_21188`

Counts

4 → 81

Calls

4 calls:

18.0ms	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
13.0ms	(.f64 (.f64 x (*.f64 18 y)) z)
9.0ms	(.f64 x (.f64 18 y))
8.0ms	(.f64 (.f64 j 27) k)

series1.1s (5.2%)

Counts

4 → 48

Calls

4 calls:

671.0ms	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
216.0ms	(.f64 (.f64 x (*.f64 18 y)) z)
113.0ms	(.f64 x (.f64 18 y))
100.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 2416 to 2330 computations (3.6% saved)

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4942	1685
1	4942	1685

prune341.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Error

2.5b

Counts

136 → 7

Compiler

Compiled 4254 to 2617 computations (38.5% saved)

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
2.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
6.4b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite52.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
11×	`add-sqr-sqrt_binary64_21242`
9×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
7×	`prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
6×	`associate-r_binary64_21160` `cbrt-prod_binary64_21251`
4×	`add-log-exp_binary64_21259` `associate-l_binary64_21161`
2×	`distribute-lft-in_binary64_21169` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `-commutative_binary64_21151` `associate-r/_binary64_21162` `distribute-rgt-in_binary64_21170` `pow1/3_binary64_21302`
1×	`flip3--_binary64_21224` `flip--_binary64_21195` `unswap-sqr_binary64_21188`

Counts

4 → 67

Calls

4 calls:

19.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
13.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
2.0ms	(cbrt.f64 k)
2.0ms	(cbrt.f64 k)

series1.3s (6%)

Counts

4 → 42

Calls

4 calls:

760.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
244.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
132.0ms	(cbrt.f64 k)
128.0ms	(cbrt.f64 k)

Compiler

Compiled 2604 to 2254 computations (13.4% saved)

simplify135.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4978	1446
1	4978	1446

prune275.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	109	7	116

Error

2.5b

Counts

116 → 7

Compiler

Compiled 4363 to 2319 computations (46.8% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.7b	(.f64 j (.f64 27 k))
2.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
6.4b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite62.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
13×	`prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
11×	`add-sqr-sqrt_binary64_21242`
10×	`associate-r_binary64_21160`
9×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
8×	`associate-l_binary64_21161`
4×	`add-log-exp_binary64_21259` `*-commutative_binary64_21151`
2×	`distribute-lft-in_binary64_21169` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `associate-*r/_binary64_21162` `distribute-rgt-in_binary64_21170`
1×	`flip3--_binary64_21224` `flip--_binary64_21195` `unswap-sqr_binary64_21188`

Counts

4 → 81

Calls

4 calls:

17.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
12.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
9.0ms	(.f64 (.f64 x 18) y)
8.0ms	(.f64 j (.f64 27 k))

series1.1s (5.3%)

Counts

4 → 48

Calls

4 calls:

687.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
213.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
109.0ms	(.f64 j (.f64 27 k))
107.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 2416 to 2330 computations (3.6% saved)

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5051	1682

prune321.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	129	7	136

Error

2.5b

Counts

136 → 7

Compiler

Compiled 4070 to 2441 computations (40% saved)

regimes1.7s (7.8%)

Accuracy

Total 1.5b remaining (38.6%)

Threshold costs 0b (0%)

Compiler

Compiled 10304 to 9956 computations (3.4% saved)

bsearch252.0ms (1.2%)

Steps

Iters	Range		Point
11	4.398523431940845e-28	5.922447187849519e-06	3.212136310197952e-20
8	-7.844474804426322e-26	-1.8570560451583627e-28	-3.7826261403800754e-28

Compiler

Compiled 1 to 10 computations (-900% saved)

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	218	141
1	218	141

Compiler

Compiled 570 to 408 computations (28.4% saved)

end0.0ms (0%)

sample7.1s (33.5%)

Algorithm

1×

intervals

Results

1.3s	8108×	body	128	invalid
1.2s	8000×	body	128	valid

Compiler

Compiled 856 to 760 computations (11.2% saved)

Details

analyze4.3s (20.1%)

sample194.0ms (0.9%)

simplify791.0ms (3.7%)

prune9.0ms (0%)

localize41.0ms (0.2%)

rewrite71.0ms (0.3%)

series1.1s (5.2%)

simplify134.0ms (0.6%)

prune345.0ms (1.6%)

localize44.0ms (0.2%)

rewrite63.0ms (0.3%)

series1.1s (5.2%)

simplify122.0ms (0.6%)

prune341.0ms (1.6%)

localize54.0ms (0.3%)

rewrite52.0ms (0.2%)

series1.3s (6%)

simplify135.0ms (0.6%)

prune275.0ms (1.3%)

localize44.0ms (0.2%)

rewrite62.0ms (0.3%)

series1.1s (5.3%)

simplify126.0ms (0.6%)

prune321.0ms (1.5%)

regimes1.7s (7.8%)

bsearch252.0ms (1.2%)

simplify125.0ms (0.6%)

end0.0ms (0%)

sample7.1s (33.5%)

Profiling