Details

analyze1.5s (57.6%)

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%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample36.0ms (1.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
6.0ms	126×	body	80	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify137.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5232	31

prune7.0ms (0.3%)

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 42 to 38 computations (9.5% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite43.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64` `associate-*l/_binary64`
21×	`*-un-lft-identity_binary64`
20×	`associate-l_binary64`
19×	`flip3--_binary64` `flip--_binary64`
13×	`add-log-exp_binary64`
12×	`frac-add_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`frac-sub_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64`
3×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `associate-+l+_binary64` `difference-of-sqr-1_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

4 → 99

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
11.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
7.0ms	(*.f64 (-.f64 y 1) z)
7.0ms	(*.f64 (-.f64 t 1) a)

series61.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
7.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
4.0ms	(*.f64 (-.f64 t 1) a)
4.0ms	(*.f64 (-.f64 y 1) z)

simplify93.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4942	3264
1	4942	3264

prune119.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	3	112

Merged error: 0b

Counts

112 → 3

Compiler

Compiled 3871 to 2286 computations (40.9% saved)

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b)))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))

rewrite39.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b)))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))

series136.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b)))
29.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
29.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
29.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))

simplify105.0ms (4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5186	1717

prune108.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

Compiler

Compiled 3827 to 2278 computations (40.5% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite43.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
18×	`associate-r_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-cube-cbrt_binary64`
10×	`associate-*l/_binary64`
7×	`sqrt-prod_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`difference-of-sqr-1_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.f64 (.f64 (-.f64 (+.f64 y t) 2) (sqrt.f64 b)) (sqrt.f64 b))
11.0ms	(*.f64 (-.f64 (+.f64 y t) 2) (sqrt.f64 b))
7.0ms	(*.f64 (-.f64 t 1) a)
7.0ms	(*.f64 (-.f64 y 1) z)

series33.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(*.f64 (-.f64 (+.f64 y t) 2) (sqrt.f64 b))
11.0ms	(.f64 (.f64 (-.f64 (+.f64 y t) 2) (sqrt.f64 b)) (sqrt.f64 b))
4.0ms	(*.f64 (-.f64 t 1) a)
4.0ms	(*.f64 (-.f64 y 1) z)

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4970	1286
1	4970	1286

Details

analyze1.5s (57.6%)

sample36.0ms (1.4%)

simplify137.0ms (5.3%)

prune7.0ms (0.3%)

localize14.0ms (0.5%)

rewrite43.0ms (1.7%)

series61.0ms (2.4%)

simplify93.0ms (3.6%)

prune119.0ms (4.6%)

localize18.0ms (0.7%)

rewrite39.0ms (1.5%)

series136.0ms (5.2%)

simplify105.0ms (4%)

prune108.0ms (4.1%)

localize16.0ms (0.6%)

rewrite43.0ms (1.6%)

series33.0ms (1.3%)

simplify85.0ms (3.3%)

prune14.0ms (0.5%)

Profiling