Details

analyze460.0ms (9.3%)

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
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
4.0ms	114×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify308.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	1715	13
1	1715	13

prune2.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x y) z)
0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_1111`
11×	`add-sqr-sqrt_binary64_1133`
7×	`add-cbrt-cube_binary64_1147` `add-log-exp_binary64_1150` `add-exp-log_binary64_1149`
6×	`times-frac_binary64_1117` `associate-/l*_binary64_1056` `distribute-lft-out--_binary64_1063`
5×	`add-cube-cbrt_binary64_1146`
3×	`cancel-sign-sub-inv_binary64_1077` `difference-of-squares_binary64_1080` `distribute-lft-out_binary64_1062`
2×	`flip3--_binary64_1115` `associate-/l/_binary64_1058` `diff-log_binary64_1203` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `pow1_binary64_1172` `flip--_binary64_1086`
1×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `div-inv_binary64_1108` `associate-/r*_binary64_1055` `frac-2neg_binary64_1122` `associate--l+_binary64_1048` `sum-log_binary64_1202` `sub-neg_binary64_1104` `clear-num_binary64_1110` `div-sub_binary64_1116`

Counts

2 → 49

Calls

2 calls:

11.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
7.0ms	(-.f64 (+.f64 x y) z)

series115.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

84.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
31.0ms	(-.f64 (+.f64 x y) z)

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4986	734
1	4986	734

prune79.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

Compiler

Compiled 1403 to 796 computations (43.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (*.f64 t 2))
0.0b	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1111`
11×	`times-frac_binary64_1117`
8×	`add-sqr-sqrt_binary64_1133`
7×	`add-cbrt-cube_binary64_1147` `cancel-sign-sub-inv_binary64_1077` `add-exp-log_binary64_1149`
6×	`add-cube-cbrt_binary64_1146`
4×	`div-inv_binary64_1108` `associate-/l*_binary64_1056` `add-log-exp_binary64_1150`
3×	`distribute-lft-out_binary64_1062` `distribute-lft-out--_binary64_1063`
2×	`associate-/l/_binary64_1058` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `pow1_binary64_1172`
1×	`frac-sub_binary64_1120` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `flip-+_binary64_1085` `associate-/r*_binary64_1055` `distribute-rgt-out--_binary64_1065` `sub-div_binary64_1118` `frac-2neg_binary64_1122` `flip3--_binary64_1115` `diff-log_binary64_1203` `flip3-+_binary64_1114` `difference-of-squares_binary64_1080` `sub-neg_binary64_1104` `clear-num_binary64_1110` `flip--_binary64_1086`

Counts

2 → 50

Calls

2 calls:

14.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
7.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

series137.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

80.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
57.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4920	903
1	4920	903

prune48.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Merged error: 0b

Counts

59 → 3

Compiler

Compiled 1019 to 550 computations (46% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x y) z)
0.3b	(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_1111`
20×	`add-sqr-sqrt_binary64_1133`
13×	`associate-r_binary64_1051`
11×	`add-cube-cbrt_binary64_1146`
10×	`times-frac_binary64_1117`
7×	`add-cbrt-cube_binary64_1147` `add-log-exp_binary64_1150` `add-exp-log_binary64_1149`
6×	`associate-l_binary64_1052`
4×	`pow1_binary64_1172` `distribute-lft-out--_binary64_1063`
3×	`cancel-sign-sub-inv_binary64_1077` `flip3--_binary64_1115` `flip--_binary64_1086`
2×	`prod-exp_binary64_1160` `associate-*l/_binary64_1054` `cbrt-unprod_binary64_1144` `frac-times_binary64_1121` `diff-log_binary64_1203` `unswap-sqr_binary64_1079` `difference-of-squares_binary64_1080` `distribute-lft-out_binary64_1062`
1×	`-commutative_binary64_1042` `div-inv_binary64_1108` `associate--l+_binary64_1048` `div-exp_binary64_1162` `pow-prod-down_binary64_1182` `cbrt-undiv_binary64_1145` `sum-log_binary64_1202` `sub-neg_binary64_1104` `associate-r/_binary64_1053`

Counts

2 → 58

Calls

2 calls:

15.0ms	(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))
7.0ms	(-.f64 (+.f64 x y) z)

series112.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

83.0ms	(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))
28.0ms	(-.f64 (+.f64 x y) z)

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5680	918

prune51.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0b

Counts

67 → 3

Compiler

Compiled 1028 to 449 computations (56.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t 2))) (cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))
1.6b	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
1.6b	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
1.6b	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))

rewrite71.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`cbrt-prod_binary64_1142`
81×	`*-un-lft-identity_binary64_1111`
54×	`times-frac_binary64_1117`
44×	`add-sqr-sqrt_binary64_1133`
22×	`add-cube-cbrt_binary64_1146` `distribute-lft-out--_binary64_1063`
19×	`swap-sqr_binary64_1078`
13×	`associate-r_binary64_1051` `associate-l_binary64_1052`
11×	`distribute-lft-out_binary64_1062` `pow1_binary64_1172`
9×	`pow1/3_binary64_1193`
7×	`div-inv_binary64_1108` `difference-of-squares_binary64_1080` `cbrt-div_binary64_1143`
6×	`add-exp-log_binary64_1149`
4×	`add-cbrt-cube_binary64_1147` `unswap-sqr_binary64_1079` `add-log-exp_binary64_1150`
2×	`pow-prod-up_binary64_1181` `pow-sqr_binary64_1084` `pow-prod-down_binary64_1182`
1×	`-commutative_binary64_1042` `prod-exp_binary64_1160` `associate-l/_binary64_1054` `cbrt-unprod_binary64_1144` `frac-times_binary64_1121` `pow-plus_binary64_1174` `pow2_binary64_1192` `associate-*r/_binary64_1053`

Counts

4 → 127

Calls

4 calls:

25.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t 2))) (cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))
8.0ms	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))

series2.2s (43.7%)

Counts

4 → 12

Calls

4 calls:

672.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t 2))) (cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))
498.0ms	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
496.0ms	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
493.0ms	(cbrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))

simplify94.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4940	3589
1	4940	3589

prune195.0ms (3.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	139	3	142

Merged error: 0b

Counts

142 → 3

Compiler

Compiled 5187 to 2380 computations (54.1% saved)

regimes96.0ms (1.9%)

Compiler: Compiled 531 to 453 computations (14.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms (0%)

sample722.0ms (14.6%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	128	valid
87.0ms	2777×	body	128	invalid

Compiler

Compiled 77 to 67 computations (13% saved)

Details

analyze460.0ms (9.3%)

sample23.0ms (0.5%)

simplify308.0ms (6.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite22.0ms (0.4%)

series115.0ms (2.3%)

simplify42.0ms (0.9%)

prune79.0ms (1.6%)

localize8.0ms (0.2%)

rewrite26.0ms (0.5%)

series137.0ms (2.8%)

simplify64.0ms (1.3%)

prune48.0ms (1%)

localize7.0ms (0.1%)

rewrite27.0ms (0.5%)

series112.0ms (2.3%)

simplify54.0ms (1.1%)

prune51.0ms (1%)

localize11.0ms (0.2%)

rewrite71.0ms (1.4%)

series2.2s (43.7%)

simplify94.0ms (1.9%)

prune195.0ms (3.9%)

regimes96.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample722.0ms (14.6%)

Profiling