Details

analyze1.7s (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	49.3%	50.3%	10
0.6%	48.9%	50.5%	11
1.1%	48.1%	50.9%	12
1.5%	47.3%	51.2%	13
1.7%	46.9%	51.5%	14

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample195.0ms (1.1%)

Algorithm

1×

intervals

Results

114.0ms	130×	body	2048	valid
29.0ms	71×	body	1024	valid
8.0ms	15×	body	2048	overflowed
8.0ms	24×	body	1024	overflowed
7.0ms	324×	pre	128	true
6.0ms	25×	body	512	valid
2.0ms	9×	body	512	overflowed
2.0ms	22×	body	128	valid
1.0ms	1×	body	4096	valid
1.0ms	16×	body	128	overflowed
1.0ms	7×	body	256	valid
1.0ms	1×	body	2048	invalid
0.0ms	3×	body	256	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify184.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5217	37

prune3.0ms (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

Merged error: 59.3b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
2.9b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.7b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
6.3b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite38.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_789`
26×	`*-un-lft-identity_binary64_767`
15×	`cancel-sign-sub-inv_binary64_733`
11×	`add-cube-cbrt_binary64_802`
10×	`add-log-exp_binary64_806` `difference-of-squares_binary64_736`
9×	`flip--_binary64_742` `flip3--_binary64_771`
7×	`associate-l_binary64_708` `associate-r_binary64_707`
6×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
5×	`sub-neg_binary64_760` `distribute-lft-out--_binary64_719` `difference-of-sqr-1_binary64_737`
4×	`frac-times_binary64_777` `distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716`
3×	`diff-log_binary64_859`
2×	`associate-r/_binary64_709` `associate-l/_binary64_710`
1×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `pow-prod-down_binary64_838`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
5.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
5.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

series259.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
83.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
41.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
41.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4986	2058
1	4986	2058

prune177.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Merged error: 48.1b

Counts

109 → 4

Compiler

Compiled 4244 to 2000 computations (52.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))))))
3.9b	(.f64 b (.f64 1/6 (pow.f64 eps 3)))
6.3b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
15.2b	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))

rewrite58.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_805`
26×	`add-cbrt-cube_binary64_803`
14×	`prod-exp_binary64_816`
12×	`add-sqr-sqrt_binary64_789`
11×	`pow1_binary64_828`
10×	`cbrt-unprod_binary64_800` `*-un-lft-identity_binary64_767`
8×	`associate-/r/_binary64_713`
7×	`add-cube-cbrt_binary64_802`
6×	`add-log-exp_binary64_806` `associate-*r/_binary64_709`
5×	`flip--_binary64_742` `flip3--_binary64_771`
4×	`associate-l_binary64_708` `frac-times_binary64_777` `associate-r_binary64_707` `cbrt-undiv_binary64_801` `flip-+_binary64_741` `flip3-+_binary64_770` `div-exp_binary64_818` `pow-prod-down_binary64_838`
3×	`cancel-sign-sub-inv_binary64_733`
2×	`associate-/l/_binary64_714` `-commutative_binary64_698` `associate-l/_binary64_710` `difference-of-squares_binary64_736`
1×	`frac-2neg_binary64_778` `pow-to-exp_binary64_836` `unswap-sqr_binary64_735` `associate-/r_binary64_711` `pow-exp_binary64_835` `sub-neg_binary64_760` `times-frac_binary64_773` `distribute-rgt-in_binary64_717` `associate-/l_binary64_712` `diff-log_binary64_859` `distribute-lft-out--_binary64_719` `distribute-lft-in_binary64_716` `clear-num_binary64_766` `div-inv_binary64_764` `difference-of-sqr-1_binary64_737`

Counts

4 → 91

Calls

4 calls:

18.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))))))
13.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))
7.0ms	(.f64 b (.f64 1/6 (pow.f64 eps 3)))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

series8.3s (46.2%)

Counts

4 → 12

Calls

4 calls:

8.0s	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (+.f64 (.f64 b eps) (.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (*.f64 eps eps)))))))
180.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b (.f64 1/6 (pow.f64 eps 3))) (.f64 1/2 (.f64 eps eps))))
82.0ms	(.f64 b (.f64 1/6 (pow.f64 eps 3)))
77.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5159	3682

prune442.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	103	4	107

Merged error: 0.1b

Counts

107 → 4

Compiler

Compiled 10405 to 6012 computations (42.2% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1 b) (/.f64 1 a))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_767`
7×	`distribute-lft-out_binary64_718`
6×	`times-frac_binary64_773`
4×	`div-inv_binary64_764`
3×	`add-log-exp_binary64_806` `add-sqr-sqrt_binary64_789` `add-cube-cbrt_binary64_802`
1×	`frac-add_binary64_775` `add-exp-log_binary64_805` `pow1_binary64_828` `flip-+_binary64_741` `+-commutative_binary64_697` `sum-log_binary64_858` `flip3-+_binary64_770` `add-cbrt-cube_binary64_803`

Counts

1 → 19

Calls

1 calls:

15.0ms

(+.f64 (/.f64 1 b) (/.f64 1 a))

series20.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(+.f64 (/.f64 1 b) (/.f64 1 a))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4970	287
1	4970	287

prune79.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Merged error: 0.1b

Counts

26 → 7

Compiler

Compiled 1341 to 1025 computations (23.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

15.1b

(/.f64 (+.f64 b a) (*.f64 b a))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_767`
6×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
4×	`times-frac_binary64_773` `associate-/l*_binary64_712`
3×	`add-sqr-sqrt_binary64_789` `add-cube-cbrt_binary64_802`
2×	`distribute-lft-out_binary64_718` `associate-/l/_binary64_714` `cbrt-undiv_binary64_801` `div-exp_binary64_818`
1×	`frac-2neg_binary64_778` `associate-/r*_binary64_711` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow1_binary64_828` `add-log-exp_binary64_806` `flip-+_binary64_741` `flip3-+_binary64_770` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

1 → 25

Calls

1 calls:

7.0ms

(/.f64 (+.f64 b a) (*.f64 b a))

series61.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

61.0ms

(/.f64 (+.f64 b a) (*.f64 b a))

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5129	354

prune45.0ms (0.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	28	7	35

Merged error: 0.1b

Counts

35 → 7

Compiler

Compiled 844 to 476 computations (43.6% saved)

regimes58.0ms (0.3%)

Compiler: Compiled 489 to 360 computations (26.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample6.0s (33.4%)

Algorithm

1×

intervals

Results

3.5s	4073×	body	2048	valid
1.1s	2467×	body	1024	valid
218.0ms	9641×	pre	128	true
209.0ms	387×	body	2048	overflowed
185.0ms	548×	body	1024	overflowed
180.0ms	708×	body	512	valid
62.0ms	288×	body	512	overflowed
38.0ms	237×	body	256	valid
37.0ms	500×	body	128	valid
22.0ms	143×	body	256	overflowed
22.0ms	273×	body	128	overflowed
22.0ms	15×	body	4096	valid
2.0ms	2×	body	2048	invalid

Compiler

Compiled 206 to 155 computations (24.8% saved)

Details

analyze1.7s (9.5%)

sample195.0ms (1.1%)

simplify184.0ms (1%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite38.0ms (0.2%)

series259.0ms (1.4%)

simplify76.0ms (0.4%)

prune177.0ms (1%)

localize28.0ms (0.2%)

rewrite58.0ms (0.3%)

series8.3s (46.2%)

simplify68.0ms (0.4%)

prune442.0ms (2.4%)

localize5.0ms (0%)

rewrite16.0ms (0.1%)

series20.0ms (0.1%)

simplify60.0ms (0.3%)

prune79.0ms (0.4%)

localize4.0ms (0%)

rewrite9.0ms (0%)

series61.0ms (0.3%)

simplify67.0ms (0.4%)

prune45.0ms (0.2%)

regimes58.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.0s (33.4%)

Profiling