Details

analyze1.5s (19.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample131.0ms (1.7%)

Algorithm

1×

intervals

Results

78.0ms	125×	body	1024	valid
21.0ms	68×	body	512	valid
12.0ms	14×	body	2048	valid
5.0ms	32×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	17×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune5.0ms (0.1%)

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: 61.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.6b	(log.f64 (+.f64 1 x))
5.6b	(log.f64 (-.f64 1 x))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_1101`
18×	`add-sqr-sqrt_binary64_1123`
16×	`times-frac_binary64_1107`
15×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
12×	`log-pow_binary64_1190`
10×	`log-prod_binary64_1187`
7×	`add-exp-log_binary64_1139`
6×	`log-div_binary64_1188`
5×	`add-cbrt-cube_binary64_1137`
4×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
3×	`add-log-exp_binary64_1140`
2×	`difference-of-squares_binary64_1070` `rem-log-exp_binary64_1142` `flip--_binary64_1076` `flip3--_binary64_1105` `div-sub_binary64_1106`
1×	`distribute-lft-out_binary64_1052` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `distribute-lft-out--_binary64_1053` `flip3-+_binary64_1104` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075`

Counts

3 → 70

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series84.0ms (1.1%)

Counts

3 → 18

Calls

3 calls:

42.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
22.0ms	(log.f64 (-.f64 1 x))
20.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 309 to 255 computations (17.5% saved)

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5268	1396

prune94.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

Compiler

Compiled 1319 to 1041 computations (21.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12))))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
0.0b	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
0.3b	(*.f64 x 5/12)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
10×	`*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137`
9×	`associate-r_binary64_1041` `associate-l_binary64_1042`
6×	`add-log-exp_binary64_1140`
5×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
4×	`sub-neg_binary64_1094` `associate-+r+_binary64_1033` `associate-*r/_binary64_1043` `cancel-sign-sub-inv_binary64_1067`
3×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`
2×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
1×	`sum-log_binary64_1192` `flip--_binary64_1076` `flip3--_binary64_1105` `+-commutative_binary64_1031`

Counts

4 → 79

Calls

4 calls:

5.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
5.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
4.0ms	(*.f64 x 5/12)
4.0ms	(+.f64 -1 (.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12))))))

series114.0ms (1.4%)

Counts

4 → 20

Calls

4 calls:

42.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
32.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
23.0ms	(+.f64 -1 (.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12))))))
18.0ms	(*.f64 x 5/12)

Compiler

Compiled 384 to 346 computations (9.9% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4993	1341
1	4993	1341

prune91.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

Compiler

Compiled 1737 to 1333 computations (23.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
2.3b	(log.f64 (-.f64 1 (*.f64 x x)))
5.6b	(log.f64 (-.f64 1 x))
5.6b	(log.f64 (-.f64 1 x))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_1101`
38×	`add-sqr-sqrt_binary64_1123`
36×	`pow1_binary64_1162`
32×	`times-frac_binary64_1107` `log-pow_binary64_1190`
22×	`distribute-lft-out--_binary64_1053`
21×	`add-cube-cbrt_binary64_1136`
17×	`log-prod_binary64_1187`
11×	`difference-of-squares_binary64_1070`
9×	`add-exp-log_binary64_1139`
8×	`log-div_binary64_1188` `associate-/r*_binary64_1045`
6×	`add-cbrt-cube_binary64_1137`
5×	`flip--_binary64_1076` `flip3--_binary64_1105`
4×	`add-log-exp_binary64_1140` `associate-/l*_binary64_1046`
3×	`rem-log-exp_binary64_1142`
2×	`associate-/r/_binary64_1047` `div-sub_binary64_1106`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`

Counts

4 → 110

Calls

4 calls:

9.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series152.0ms (1.9%)

Counts

4 → 24

Calls

4 calls:

57.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
49.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
23.0ms	(log.f64 (-.f64 1 x))
23.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 595 to 485 computations (18.5% saved)

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5052	3080

prune168.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	133	5	138

Merged error: 0.0b

Counts

138 → 5

Compiler

Compiled 3163 to 2264 computations (28.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 6) -1/3)
5.6b	(log.f64 (-.f64 1 x))
5.6b	(log.f64 (-.f64 1 x))
28.4b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x)) (.f64 (pow.f64 x 6) -1/3)) (.f64 (pow.f64 x 8) -1/4)) (log.f64 (-.f64 1 x))))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
24×	`times-frac_binary64_1107`
21×	`add-cube-cbrt_binary64_1136`
18×	`pow1_binary64_1162`
14×	`log-pow_binary64_1190`
13×	`add-exp-log_binary64_1139`
12×	`distribute-lft-out--_binary64_1053` `log-prod_binary64_1187`
9×	`difference-of-squares_binary64_1070`
8×	`add-cbrt-cube_binary64_1137`
7×	`associate-l_binary64_1042`
6×	`log-div_binary64_1188` `associate-/r*_binary64_1045`
4×	`unpow-prod-down_binary64_1180` `add-log-exp_binary64_1140` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l*_binary64_1046`
3×	`prod-exp_binary64_1150` `associate-r_binary64_1041` `unswap-sqr_binary64_1069`
2×	`rem-log-exp_binary64_1142` `associate-/r/_binary64_1047` `sqr-pow_binary64_1073` `div-sub_binary64_1106`
1×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `pow-to-exp_binary64_1170`

Counts

4 → 109

Calls

4 calls:

20.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x)) (.f64 (pow.f64 x 6) -1/3)) (.f64 (pow.f64 x 8) -1/4)) (log.f64 (-.f64 1 x))))
5.0ms	(*.f64 (pow.f64 x 6) -1/3)
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

series145.0ms (1.8%)

Counts

4 → 21

Calls

4 calls:

45.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x)) (.f64 (pow.f64 x 6) -1/3)) (.f64 (pow.f64 x 8) -1/4)) (log.f64 (-.f64 1 x))))
41.0ms	(*.f64 (pow.f64 x 6) -1/3)
31.0ms	(log.f64 (-.f64 1 x))
28.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 835 to 678 computations (18.8% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4975	4259
1	4975	4259

prune306.0ms (3.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	130	5	135

Merged error: 0.0b

Counts

135 → 5

Compiler

Compiled 5301 to 3970 computations (25.1% saved)

regimes71.0ms (0.9%)

Compiler: Compiled 672 to 560 computations (16.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	19
1	67	19

end0.0ms (0%)

sample4.5s (56.3%)

Algorithm

1×

intervals

Results

2.6s	4004×	body	1024	valid
647.0ms	2017×	body	512	valid
320.0ms	375×	body	2048	valid
166.0ms	1038×	body	256	valid
158.0ms	8000×	pre	128	true
42.0ms	566×	body	128	valid

Compiler

Compiled 357 to 296 computations (17.1% saved)

Details

analyze1.5s (19.3%)

sample131.0ms (1.7%)

simplify98.0ms (1.2%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite17.0ms (0.2%)

series84.0ms (1.1%)

simplify83.0ms (1%)

prune94.0ms (1.2%)

localize10.0ms (0.1%)

rewrite23.0ms (0.3%)

series114.0ms (1.4%)

simplify60.0ms (0.8%)

prune91.0ms (1.1%)

localize9.0ms (0.1%)

rewrite28.0ms (0.3%)

series152.0ms (1.9%)

simplify87.0ms (1.1%)

prune168.0ms (2.1%)

localize18.0ms (0.2%)

rewrite45.0ms (0.6%)

series145.0ms (1.8%)

simplify90.0ms (1.1%)

prune306.0ms (3.8%)

regimes71.0ms (0.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.5s (56.3%)

Profiling