Details

analyze360.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.4b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite262.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
14×	`add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `associate-r_binary64_2405`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `cancel-sign-sub-inv_binary64_2431`
4×	`associate-*r/_binary64_2407`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`unswap-sqr_binary64_2433` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-l_binary64_2406` `*-commutative_binary64_2396` `sub-neg_binary64_2458` `difference-of-squares_binary64_2434` `associate-+r+_binary64_2397`
1×	`distribute-lft-out_binary64_2416` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3139 to 1575 computations (49.8% saved)

series1.2s (11.9%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

645.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
317.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
120.0ms	(.f64 (.f64 b b) (+.f64 3 a))
72.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2893 to 2229 computations (23% saved)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4962	2518
1	4962	2518

prune233.0ms (2.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	5	142

Error

0.0b

Counts

142 → 5

Compiler

Compiled 2934 to 1554 computations (47% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.4b	(.f64 a (.f64 b b))
0.4b	(.f64 (.f64 b b) (+.f64 3 a))
0.6b	(.f64 a (.f64 a (*.f64 b b)))

rewrite361.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
16×	`add-sqr-sqrt_binary64_2487`
15×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-un-lft-identity_binary64_2465`
12×	`associate-r_binary64_2405`
10×	`add-cube-cbrt_binary64_2500`
8×	`associate-l_binary64_2406`
6×	`cancel-sign-sub-inv_binary64_2431`
5×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
4×	`add-log-exp_binary64_2504` `-commutative_binary64_2396` `associate-r/_binary64_2407`
3×	`unswap-sqr_binary64_2433`
2×	`sub-neg_binary64_2458` `difference-of-squares_binary64_2434`
1×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417`

Counts

4 → 96

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 3667 to 1977 computations (46.1% saved)

series445.0ms (4.3%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

129.0ms	(.f64 (.f64 b b) (+.f64 3 a))
114.0ms	(.f64 a (.f64 a (*.f64 b b)))
99.0ms	(.f64 a (.f64 b b))
71.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2113 to 1560 computations (26.2% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4929	1229
1	4929	1229

prune235.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	124	4	128

Error

0.0b

Counts

128 → 4

Compiler

Compiled 2815 to 1605 computations (43% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 (+.f64 a 3) b)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(.f64 b (.f64 (+.f64 a 3) b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite261.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
14×	`add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501`
13×	`*-un-lft-identity_binary64_2465`
10×	`add-cube-cbrt_binary64_2500`
7×	`associate-r_binary64_2405`
6×	`add-log-exp_binary64_2504` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `cancel-sign-sub-inv_binary64_2431`
5×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
4×	`associate-r/_binary64_2407` `associate-l*_binary64_2406`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`flip3-+_binary64_2468` `associate-l/_binary64_2408` `flip-+_binary64_2439` `-commutative_binary64_2396` `sub-neg_binary64_2458` `difference-of-squares_binary64_2434` `associate-+r+_binary64_2397`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 83

Calls

4 calls:

11.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 (+.f64 a 3) b)))))
7.0ms	(.f64 b (.f64 (+.f64 a 3) b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3001 to 1587 computations (47.1% saved)

series1.2s (11.8%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

634.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 (+.f64 a 3) b)))))
305.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
128.0ms	(.f64 b (.f64 (+.f64 a 3) b))
72.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2893 to 2247 computations (22.3% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5151	2485

prune221.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	137	4	141

Error

0.0b

Counts

141 → 4

Compiler

Compiled 2756 to 1505 computations (45.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.4b	(.f64 a (.f64 b b))
0.4b	(.f64 a (.f64 b b))
0.6b	(.f64 a (.f64 a (*.f64 b b)))

rewrite300.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
16×	`add-sqr-sqrt_binary64_2487`
15×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
13×	`*-un-lft-identity_binary64_2465`
10×	`add-cube-cbrt_binary64_2500` `associate-l_binary64_2406`
9×	`associate-r_binary64_2405`
6×	`cancel-sign-sub-inv_binary64_2431`
4×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
3×	`unswap-sqr_binary64_2433`
2×	`sub-neg_binary64_2458` `associate-*r/_binary64_2407` `difference-of-squares_binary64_2434`
1×	`flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417`

Counts

4 → 91

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 3266 to 1555 computations (52.4% saved)

series403.0ms (3.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

119.0ms	(.f64 a (.f64 a (*.f64 b b)))
94.0ms	(.f64 a (.f64 b b))
89.0ms	(.f64 a (.f64 b b))
79.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 1771 to 1281 computations (27.7% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4983	1068
1	4983	1068

prune198.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Error

0.0b

Counts

119 → 4

Compiler

Compiled 2285 to 1155 computations (49.5% saved)

regimes3.2s (31%)

Accuracy

Total 0.0b remaining (12.5%)

Threshold costs 0.0b (12.5%)

Compiler

Compiled 46707 to 31774 computations (32% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	55
1	47	55

end2.0ms (0%)

Compiler: Compiled 37 to 29 computations (21.6% saved)

sample906.0ms (8.8%)

Algorithm

1×

intervals

Results

496.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 195 to 149 computations (23.6% saved)

Details

analyze360.0ms (3.5%)

sample25.0ms (0.2%)

simplify77.0ms (0.7%)

prune5.0ms (0%)

localize15.0ms (0.2%)

rewrite262.0ms (2.5%)

series1.2s (11.9%)

simplify92.0ms (0.9%)

prune233.0ms (2.3%)

localize22.0ms (0.2%)

rewrite361.0ms (3.5%)

series445.0ms (4.3%)

simplify85.0ms (0.8%)

prune235.0ms (2.3%)

localize18.0ms (0.2%)

rewrite261.0ms (2.5%)

series1.2s (11.8%)

simplify53.0ms (0.5%)

prune221.0ms (2.1%)

localize19.0ms (0.2%)

rewrite300.0ms (2.9%)

series403.0ms (3.9%)

simplify65.0ms (0.6%)

prune198.0ms (1.9%)

regimes3.2s (31%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample906.0ms (8.8%)

Profiling