Details

analyze659.0ms (16.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	63×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

prune2.0ms (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: 7.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
7.8b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
8.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

series247.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

114.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
71.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
62.0ms	(*.f64 y (-.f64 z x))

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5326	909

prune132.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Merged error: 0b

Counts

75 → 7

Compiler

Compiled 2280 to 1121 computations (50.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
2.0b	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x)) (cbrt.f64 t))
4.5b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x))

rewrite44.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`add-cbrt-cube_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
12×	`cbrt-prod_binary64`
10×	`times-frac_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64` `pow1_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-/l/_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `frac-times_binary64`
2×	`sub-neg_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

17.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x))
15.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x)) (cbrt.f64 t))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series883.0ms (22.1%)

Counts

4 → 12

Calls

4 calls:

351.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x))
229.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x)) (cbrt.f64 t))
159.0ms	(cbrt.f64 t)
142.0ms	(cbrt.f64 t)

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5427	1558

prune111.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Merged error: 0b

Counts

119 → 5

Compiler

Compiled 2326 to 920 computations (60.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))
7.0b	(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))

rewrite55.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64`
56×	`times-frac_binary64`
52×	`cancel-sign-sub-inv_binary64`
48×	`*-un-lft-identity_binary64`
40×	`add-cube-cbrt_binary64`
28×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
13×	`associate-l_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-rgt-out--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 116

Calls

2 calls:

26.0ms	(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))
10.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))

series199.0ms (5%)

Counts

2 → 6

Calls

2 calls:

127.0ms	(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))
71.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5188	2129

prune135.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

Compiler

Compiled 2676 to 1484 computations (44.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
7.0b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`times-frac_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 65

Calls

2 calls:

12.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
5.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

series202.0ms (5%)

Counts

2 → 6

Calls

2 calls:

128.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
74.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5050	1022

prune43.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0b

Counts

76 → 5

Compiler

Compiled 1085 to 235 computations (78.3% saved)

regimes88.0ms (2.2%)

Compiler: Compiled 286 to 263 computations (8% saved)

bsearch41.0ms (1%)

Steps

Iters	Range		Point
9	2.450043555306697e+158	2.6538304458854214e+164	2.6649632399056567e+158
7	-4.870467055352206e-159	-3.869003545018929e-161	-2.6987007251188735e-160

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	63
1	36	63

end0.0ms (0%)

sample765.0ms (19.2%)

Algorithm

1×

intervals

Results

284.0ms	8000×	body	128	valid
75.0ms	2199×	body	128	invalid

Compiler

Compiled 118 to 86 computations (27.1% saved)

Details

analyze659.0ms (16.5%)

sample21.0ms (0.5%)

simplify54.0ms (1.4%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.7%)

series247.0ms (6.2%)

simplify54.0ms (1.4%)

prune132.0ms (3.3%)

localize11.0ms (0.3%)

rewrite44.0ms (1.1%)

series883.0ms (22.1%)

simplify47.0ms (1.2%)

prune111.0ms (2.8%)

localize9.0ms (0.2%)

rewrite55.0ms (1.4%)

series199.0ms (5%)

simplify67.0ms (1.7%)

prune135.0ms (3.4%)

localize7.0ms (0.2%)

rewrite23.0ms (0.6%)

series202.0ms (5%)

simplify62.0ms (1.6%)

prune43.0ms (1.1%)

regimes88.0ms (2.2%)

bsearch41.0ms (1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample765.0ms (19.2%)

Profiling