Details

analyze1.7s (17.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample71.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
5.0ms	43×	body	128	invalid
4.0ms	47×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify1.0s (10.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (841.0ms)

Iter	Nodes	Cost
0	3701	24
1	3701	24

prune5.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite84.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_10006`
18×	`add-sqr-sqrt_binary64_9989`
14×	`*-un-lft-identity_binary64_9967`
12×	`add-cube-cbrt_binary64_10002` `log-prod_binary64_10053`
10×	`sum-log_binary64_10058`
9×	`pow1_binary64_10028`
8×	`add-cbrt-cube_binary64_10003` `associate-l_binary64_9908` `add-exp-log_binary64_10005`
7×	`associate-r_binary64_9907`
6×	`flip--_binary64_9942` `associate-*l/_binary64_9910` `flip3--_binary64_9971` `distribute-lft-in_binary64_9916` `associate--r+_binary64_9903` `distribute-rgt-in_binary64_9917` `diff-log_binary64_10059`
4×	`frac-add_binary64_9975`
3×	`associate-+l+_binary64_9900`
2×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `sub-neg_binary64_9960` `pow-prod-down_binary64_10038` `unswap-sqr_binary64_9935` `cancel-sign-sub-inv_binary64_9933` `associate--l+_binary64_9904` `*-commutative_binary64_9898`
1×	`flip3-+_binary64_9970` `difference-of-squares_binary64_9936` `flip-+_binary64_9941` `associate-+l-_binary64_9902` `+-commutative_binary64_9897` `distribute-lft-out--_binary64_9919` `log-pow_binary64_10056`

Counts

4 → 90

Calls

4 calls:

25.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
23.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
12.0ms	(*.f64 (-.f64 a 1/2) b)
9.0ms	(*.f64 z (log.f64 t))

series439.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

277.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
75.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
51.0ms	(*.f64 z (log.f64 t))
35.0ms	(*.f64 (-.f64 a 1/2) b)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5435	1987

prune200.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	97	5	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	5	103

Merged error: 0b

Counts

103 → 5

Compiler

Compiled 2476 to 887 computations (64.2% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.2b	(*.f64 z (log.f64 t))
0.3b	(-.f64 z (*.f64 z (log.f64 t)))

rewrite58.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_9967`
18×	`add-sqr-sqrt_binary64_9989` `add-log-exp_binary64_10006`
12×	`add-cube-cbrt_binary64_10002` `log-prod_binary64_10053`
9×	`pow1_binary64_10028`
8×	`add-cbrt-cube_binary64_10003` `associate-l_binary64_9908` `add-exp-log_binary64_10005`
7×	`associate-r_binary64_9907`
6×	`distribute-lft-in_binary64_9916` `associate--r+_binary64_9903` `distribute-rgt-in_binary64_9917` `sum-log_binary64_10058`
4×	`flip--_binary64_9942` `flip3--_binary64_9971` `frac-add_binary64_9975`
3×	`flip3-+_binary64_9970` `distribute-lft-out_binary64_9918` `flip-+_binary64_9941` `diff-log_binary64_10059`
2×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `associate-l/_binary64_9910` `sub-neg_binary64_9960` `associate-+r+_binary64_9899` `pow-prod-down_binary64_10038` `unswap-sqr_binary64_9935` `cancel-sign-sub-inv_binary64_9933` `-commutative_binary64_9898`
1×	`associate-+l+_binary64_9900` `difference-of-squares_binary64_9936` `associate-+r-_binary64_9901` `+-commutative_binary64_9897` `distribute-lft-out--_binary64_9919` `log-pow_binary64_10056`

Counts

4 → 89

Calls

4 calls:

14.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
12.0ms	(*.f64 (-.f64 a 1/2) b)
10.0ms	(-.f64 z (*.f64 z (log.f64 t)))
9.0ms	(*.f64 z (log.f64 t))

series202.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
53.0ms	(-.f64 z (*.f64 z (log.f64 t)))
42.0ms	(*.f64 z (log.f64 t))
33.0ms	(*.f64 (-.f64 a 1/2) b)

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5213	1487

prune174.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Merged error: 0b

Counts

106 → 5

Compiler

Compiled 2318 to 853 computations (63.2% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.2b	(*.f64 (log.f64 (cbrt.f64 t)) z)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`distribute-lft-in_binary64_9916` `distribute-rgt-in_binary64_9917` `log-prod_binary64_10053`
19×	`add-sqr-sqrt_binary64_9989`
18×	`cbrt-prod_binary64_9998`
17×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
12×	`pow1_binary64_10028`
11×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
8×	`associate-l_binary64_9908`
4×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `associate-r_binary64_9907` `pow-prod-down_binary64_10038` `add-log-exp_binary64_10006`
3×	`pow1/3_binary64_10049`
2×	`log-pow_binary64_10056` `*-commutative_binary64_9898`
1×	`unswap-sqr_binary64_9935`

Counts

4 → 84

Calls

4 calls:

17.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
9.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
2.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)

series598.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt.f64 t)
156.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
149.0ms	(cbrt.f64 t)
136.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))

simplify144.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5185	1191

prune212.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Merged error: 0b

Counts

101 → 5

Compiler

Compiled 2900 to 1231 computations (57.6% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_9998`
23×	`add-sqr-sqrt_binary64_9989`
15×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
11×	`pow1_binary64_10028`
9×	`pow1/3_binary64_10049`
6×	`associate-l_binary64_9908` `swap-sqr_binary64_9934` `associate-r_binary64_9907` `add-exp-log_binary64_10005`
4×	`add-cbrt-cube_binary64_10003` `add-log-exp_binary64_10006` `unswap-sqr_binary64_9935`
2×	`pow-prod-down_binary64_10038` `pow-sqr_binary64_9940` `pow-prod-up_binary64_10037`
1×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `pow2_binary64_10048` `pow-plus_binary64_10030` `*-commutative_binary64_9898`

Counts

4 → 73

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series638.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
160.0ms	(cbrt.f64 z)
144.0ms	(cbrt.f64 z)
140.0ms	(cbrt.f64 z)

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune159.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

Compiler

Compiled 2179 to 737 computations (66.2% saved)

regimes916.0ms (9.4%)

Compiler: Compiled 5106 to 4456 computations (12.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	24
1	55	24

end0.0ms (0%)

sample2.6s (27%)

Algorithm

1×

intervals

Results

915.0ms	7999×	body	128	valid
133.0ms	1167×	body	128	invalid
118.0ms	1189×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 461 to 402 computations (12.8% saved)

Details

analyze1.7s (17.4%)

sample71.0ms (0.7%)

simplify1.0s (10.3%)

prune5.0ms (0%)

localize25.0ms (0.3%)

rewrite84.0ms (0.9%)

series439.0ms (4.5%)

simplify89.0ms (0.9%)

prune200.0ms (2.1%)

localize27.0ms (0.3%)

rewrite58.0ms (0.6%)

series202.0ms (2.1%)

simplify112.0ms (1.1%)

prune174.0ms (1.8%)

localize36.0ms (0.4%)

rewrite48.0ms (0.5%)

series598.0ms (6.1%)

simplify144.0ms (1.5%)

prune212.0ms (2.2%)

localize33.0ms (0.3%)

rewrite27.0ms (0.3%)

series638.0ms (6.5%)

simplify114.0ms (1.2%)

prune159.0ms (1.6%)

regimes916.0ms (9.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.6s (27%)

Profiling