Details

analyze651.0ms (19.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	70×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify214.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

prune6.0ms (0.2%)

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: 7.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
7.3b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_10882`
9×	`add-exp-log_binary64_10896` `add-cbrt-cube_binary64_10894`
8×	`*-un-lft-identity_binary64_10861`
6×	`add-cube-cbrt_binary64_10893`
5×	`associate-l_binary64_10804`
4×	`pow1_binary64_10919` `associate-*l/_binary64_10806`
3×	`associate-r_binary64_10803` `times-frac_binary64_10867` `associate-/r*_binary64_10807`
2×	`prod-exp_binary64_10907` `cbrt-undiv_binary64_10892` `cbrt-unprod_binary64_10891` `flip--_binary64_10836` `add-log-exp_binary64_10897` `div-exp_binary64_10909` `flip3--_binary64_10865` `associate-/l/_binary64_10810`
1×	`pow-prod-down_binary64_10929` `distribute-lft-out--_binary64_10815` `associate-/l_binary64_10808` `-commutative_binary64_10794` `div-inv_binary64_10858` `unswap-sqr_binary64_10829` `frac-2neg_binary64_10872` `clear-num_binary64_10860` `difference-of-squares_binary64_10830`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
7.0ms	(*.f64 (-.f64 y x) z)

series165.0ms (5%)

Counts

2 → 6

Calls

2 calls:

109.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
56.0ms	(*.f64 (-.f64 y x) z)

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5077	543

prune48.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

Compiler

Compiled 748 to 254 computations (66% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.1b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_10882`
13×	`associate-r_binary64_10803`
11×	`*-un-lft-identity_binary64_10861`
10×	`times-frac_binary64_10867`
9×	`add-cube-cbrt_binary64_10893`
6×	`add-exp-log_binary64_10896` `add-cbrt-cube_binary64_10894`
5×	`associate-l_binary64_10804`
3×	`pow1_binary64_10919`
2×	`prod-exp_binary64_10907` `frac-times_binary64_10871` `cbrt-unprod_binary64_10891` `flip--_binary64_10836` `unswap-sqr_binary64_10829` `associate-*l/_binary64_10806` `flip3--_binary64_10865`
1×	`associate-r/_binary64_10805` `cbrt-undiv_binary64_10892` `pow-prod-down_binary64_10929` `distribute-lft-out--_binary64_10815` `-commutative_binary64_10794` `div-inv_binary64_10858` `add-log-exp_binary64_10897` `div-exp_binary64_10909` `difference-of-squares_binary64_10830`

Counts

1 → 38

Calls

1 calls:

11.0ms

(*.f64 (-.f64 y x) (/.f64 z t))

series117.0ms (3.5%)

Counts

1 → 3

Calls

1 calls:

116.0ms

(*.f64 (-.f64 y x) (/.f64 z t))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5655	564

prune38.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	39	9	48

Merged error: 0b

Counts

48 → 9

Compiler

Compiled 717 to 239 computations (66.7% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.5b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_10867`
85×	`*-un-lft-identity_binary64_10861` `add-sqr-sqrt_binary64_10882`
57×	`add-cube-cbrt_binary64_10893`
14×	`distribute-lft-out--_binary64_10815` `difference-of-squares_binary64_10830`
13×	`associate-/r*_binary64_10807`
7×	`div-inv_binary64_10858`
6×	`add-exp-log_binary64_10896` `add-cbrt-cube_binary64_10894`
5×	`associate-/l*_binary64_10808`
3×	`cbrt-undiv_binary64_10892` `div-exp_binary64_10909`
2×	`associate-/l/_binary64_10810`
1×	`associate-/r/_binary64_10809` `pow1_binary64_10919` `flip--_binary64_10836` `frac-2neg_binary64_10872` `add-log-exp_binary64_10897` `clear-num_binary64_10860` `div-sub_binary64_10866` `flip3--_binary64_10865`

Counts

1 → 101

Calls

1 calls:

11.0ms

(/.f64 (-.f64 y x) (/.f64 t z))

series116.0ms (3.5%)

Counts

1 → 3

Calls

1 calls:

116.0ms

(/.f64 (-.f64 y x) (/.f64 t z))

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5202	2298

prune76.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	5	1	6
Picked	0	1	1
Done	1	1	2
Total	108	5	113

Merged error: 0b

Counts

113 → 5

Compiler

Compiled 1928 to 394 computations (79.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y x) t)
6.8b	(*.f64 (/.f64 (-.f64 y x) t) z)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_10882`
36×	`*-un-lft-identity_binary64_10861`
31×	`times-frac_binary64_10867`
22×	`add-cube-cbrt_binary64_10893`
19×	`associate-l_binary64_10804`
9×	`add-exp-log_binary64_10896` `add-cbrt-cube_binary64_10894`
7×	`distribute-lft-out--_binary64_10815` `difference-of-squares_binary64_10830`
5×	`associate-/l*_binary64_10808`
4×	`pow1_binary64_10919`
3×	`associate-r_binary64_10803` `associate-/r*_binary64_10807`
2×	`prod-exp_binary64_10907` `cbrt-undiv_binary64_10892` `cbrt-unprod_binary64_10891` `div-inv_binary64_10858` `unswap-sqr_binary64_10829` `add-log-exp_binary64_10897` `div-exp_binary64_10909` `associate-/l/_binary64_10810`
1×	`pow-prod-down_binary64_10929` `flip--_binary64_10836` `-commutative_binary64_10794` `associate-l/_binary64_10806` `frac-2neg_binary64_10872` `clear-num_binary64_10860` `div-sub_binary64_10866` `flip3--_binary64_10865`

Counts

2 → 76

Calls

2 calls:

10.0ms	(*.f64 (/.f64 (-.f64 y x) t) z)
9.0ms	(/.f64 (-.f64 y x) t)

series161.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

111.0ms	(*.f64 (/.f64 (-.f64 y x) t) z)
50.0ms	(/.f64 (-.f64 y x) t)

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5084	1072

prune51.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0b

Counts

87 → 5

Compiler

Compiled 1254 to 319 computations (74.6% saved)

regimes250.0ms (7.5%)

Compiler: Compiled 1771 to 1298 computations (26.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	78
1	38	78

end0.0ms (0%)

sample1.0s (31.3%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
76.0ms	2189×	body	128	invalid

Compiler

Compiled 447 to 306 computations (31.5% saved)

Details

analyze651.0ms (19.7%)

sample22.0ms (0.7%)

simplify214.0ms (6.5%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite19.0ms (0.6%)

series165.0ms (5%)

simplify58.0ms (1.7%)

prune48.0ms (1.4%)

localize7.0ms (0.2%)

rewrite14.0ms (0.4%)

series117.0ms (3.5%)

simplify56.0ms (1.7%)

prune38.0ms (1.1%)

localize6.0ms (0.2%)

rewrite23.0ms (0.7%)

series116.0ms (3.5%)

simplify72.0ms (2.2%)

prune76.0ms (2.3%)

localize7.0ms (0.2%)

rewrite26.0ms (0.8%)

series161.0ms (4.9%)

simplify64.0ms (1.9%)

prune51.0ms (1.5%)

regimes250.0ms (7.5%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (31.3%)

Profiling