Details

analyze871.0ms (14.2%)

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)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
2.0ms	41×	body	128	invalid
2.0ms	36×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify485.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (478.0ms)

Iter	Nodes	Cost
0	3655	24
1	3655	24

prune3.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`associate--r+_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate-*l/_binary64`
4×	`frac-add_binary64`
3×	`associate-+l+_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `associate-+l-_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 90

Calls

4 calls:

18.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
11.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 1/2) b)
6.0ms	(*.f64 z (log.f64 t))

series448.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

283.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
73.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
52.0ms	(*.f64 z (log.f64 t))
40.0ms	(*.f64 (-.f64 a 1/2) b)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5276	1987

prune288.0ms (4.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	93	9	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

Compiler

Compiled 5735 to 3402 computations (40.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64`
26×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`log-prod_binary64`
15×	`add-cube-cbrt_binary64`
13×	`associate--l+_binary64`
10×	`diff-log_binary64`
9×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate--r+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`sum-log_binary64`
5×	`flip3--_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`
4×	`distribute-lft-out--_binary64` `frac-sub_binary64`
3×	`sub-neg_binary64` `distribute-lft-out_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate--r-_binary64` `log-pow_binary64`

Counts

4 → 102

Calls

4 calls:

16.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
7.0ms	(*.f64 (-.f64 a 1/2) b)
6.0ms	(-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b))
5.0ms	(*.f64 z (log.f64 t))

series469.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

276.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
98.0ms	(-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b))
53.0ms	(*.f64 z (log.f64 t))
41.0ms	(*.f64 (-.f64 a 1/2) b)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5085	2323

prune129.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0.0b

Counts

123 → 9

Compiler

Compiled 3051 to 1313 computations (57% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64`
36×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
30×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-+l+_binary64`
12×	`associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

13.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series552.0ms (9%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 t)
143.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
138.0ms	(cbrt.f64 t)
119.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4879	1356
1	4879	1356

prune165.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	115	8	123

Merged error: 0b

Counts

123 → 8

Compiler

Compiled 3851 to 1784 computations (53.7% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (pow.f64 t 1/3)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
0.6b	(cbrt.f64 t)
5.0b	(pow.f64 t 1/3)

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`log-prod_binary64`
38×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
27×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
24×	`associate-+l+_binary64`
15×	`unpow-prod-down_binary64` `cbrt-prod_binary64`
14×	`associate-+r+_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

14.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
6.0ms	(*.f64 z (log.f64 (pow.f64 t 1/3)))
3.0ms	(pow.f64 t 1/3)
1.0ms	(cbrt.f64 t)

series589.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (pow.f64 t 1/3))))
148.0ms	(pow.f64 t 1/3)
140.0ms	(cbrt.f64 t)
113.0ms	(*.f64 z (log.f64 (pow.f64 t 1/3)))

simplify103.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4856	1203
1	4856	1203

prune145.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	124	8	132

Merged error: 0b

Counts

132 → 8

Compiler

Compiled 3465 to 1555 computations (55.1% saved)

regimes209.0ms (3.4%)

Compiler: Compiled 1808 to 1544 computations (14.6% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	195	24
1	195	24

end0.0ms (0%)

sample1.2s (19.8%)

Algorithm

1×

intervals

Results

505.0ms	8000×	body	128	valid
68.0ms	1075×	body	128	invalid
58.0ms	1145×	body	128	nan

Compiler

Compiled 233 to 199 computations (14.6% saved)

Details

analyze871.0ms (14.2%)

sample33.0ms (0.5%)

simplify485.0ms (7.9%)

prune3.0ms (0.1%)

localize14.0ms (0.2%)

rewrite51.0ms (0.8%)

series448.0ms (7.3%)

simplify53.0ms (0.9%)

prune288.0ms (4.7%)

localize16.0ms (0.3%)

rewrite46.0ms (0.7%)

series469.0ms (7.6%)

simplify53.0ms (0.9%)

prune129.0ms (2.1%)

localize20.0ms (0.3%)

rewrite35.0ms (0.6%)

series552.0ms (9%)

simplify84.0ms (1.4%)

prune165.0ms (2.7%)

localize26.0ms (0.4%)

rewrite39.0ms (0.6%)

series589.0ms (9.6%)

simplify103.0ms (1.7%)

prune145.0ms (2.4%)

regimes209.0ms (3.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.2s (19.8%)

Profiling