Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample17.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify210.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	472	10
1	472	10

prune2.0ms (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: 8.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.8b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_2828`
28×	`*-un-lft-identity_binary64_2806`
19×	`times-frac_binary64_2812`
14×	`add-cube-cbrt_binary64_2841`
10×	`difference-of-squares_binary64_2775`
6×	`associate-/r*_binary64_2750`
5×	`distribute-lft-out--_binary64_2758`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
3×	`cancel-sign-sub-inv_binary64_2772` `associate-/l*_binary64_2751`
2×	`flip3--_binary64_2810` `flip--_binary64_2781` `associate-/r/_binary64_2752` `pow1_binary64_2867`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `diff-log_binary64_2898` `sub-neg_binary64_2799` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

2 → 58

Calls

2 calls:

15.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

series125.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

73.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
51.0ms	(/.f64 x0 (-.f64 1 x1))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4939	940
1	4939	940

prune49.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Merged error: 6.9b

Counts

65 → 2

Compiler

Compiled 896 to 538 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
0.5b	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
1.0b	(/.f64 x0 (-.f64 1 x1))
6.3b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite81.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_2806`
34×	`add-sqr-sqrt_binary64_2828`
23×	`times-frac_binary64_2812`
18×	`add-cube-cbrt_binary64_2841`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`associate-/r*_binary64_2750` `difference-of-squares_binary64_2775`
8×	`add-log-exp_binary64_2845`
5×	`distribute-lft-out--_binary64_2758`
4×	`associate-/r/_binary64_2752` `associate-/l*_binary64_2751` `pow1_binary64_2867`
3×	`cancel-sign-sub-inv_binary64_2772` `div-exp_binary64_2857` `distribute-lft-out_binary64_2757` `flip3--_binary64_2810` `cbrt-undiv_binary64_2840` `flip--_binary64_2781`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `flip-+_binary64_2780` `flip3-+_binary64_2809` `clear-num_binary64_2805` `associate-*r/_binary64_2748` `frac-2neg_binary64_2817`
1×	`diff-log_binary64_2898` `prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 97

Calls

4 calls:

35.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
19.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
11.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
6.0ms	(/.f64 x0 (-.f64 1 x1))

series473.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

250.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
117.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
55.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
51.0ms	(/.f64 x0 (-.f64 1 x1))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5042	2277

prune137.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Merged error: 5.8b

Counts

111 → 2

Compiler

Compiled 3114 to 1928 computations (38.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
1.0b	(pow.f64 (-.f64 1 x1) 3)
1.3b	(pow.f64 (-.f64 1 x1) 6)
4.6b	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))

rewrite145.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`add-sqr-sqrt_binary64_2828`
66×	`times-frac_binary64_2812` `difference-of-squares_binary64_2775`
56×	`unpow-prod-down_binary64_2885`
46×	`*-un-lft-identity_binary64_2806`
44×	`sqr-pow_binary64_2778`
34×	`cube-prod_binary64_2834`
23×	`add-cube-cbrt_binary64_2841`
12×	`cancel-sign-sub-inv_binary64_2772`
8×	`add-exp-log_binary64_2844` `distribute-lft-out--_binary64_2758`
7×	`add-cbrt-cube_binary64_2842`
6×	`associate-/r*_binary64_2750` `pow-unpow_binary64_2883` `add-log-exp_binary64_2845` `pow1_binary64_2867`
3×	`flip3--_binary64_2810` `flip--_binary64_2781` `associate-/l*_binary64_2751`
2×	`pow-exp_binary64_2874` `unpow3_binary64_2872` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `cube-mult_binary64_2836` `associate-/r/_binary64_2752` `cube-div_binary64_2835`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `diff-log_binary64_2898` `sub-neg_binary64_2799` `clear-num_binary64_2805` `frac-2neg_binary64_2817` `rem-cube-cbrt_binary64_2829`

Counts

4 → 168

Calls

4 calls:

94.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
6.0ms	(/.f64 x0 (-.f64 1 x1))
6.0ms	(pow.f64 (-.f64 1 x1) 3)
6.0ms	(pow.f64 (-.f64 1 x1) 6)

series273.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
48.0ms	(/.f64 x0 (-.f64 1 x1))
21.0ms	(pow.f64 (-.f64 1 x1) 6)
16.0ms	(pow.f64 (-.f64 1 x1) 3)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4989	4060
1	4989	4060

prune584.0ms (6.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	180	2	182

Merged error: 4.1b

Counts

182 → 2

Compiler

Compiled 10176 to 6617 computations (35% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.3b	(pow.f64 (-.f64 1 x1) 6)
1.3b	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
1.9b	(pow.f64 (-.f64 1 x1) 12)
4.5b	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))

rewrite488.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Rules

607×	`add-sqr-sqrt_binary64_2828`
496×	`unpow-prod-down_binary64_2885`
380×	`cube-prod_binary64_2834`
290×	`difference-of-squares_binary64_2775`
258×	`times-frac_binary64_2812`
240×	`sqr-pow_binary64_2778`
51×	`*-un-lft-identity_binary64_2806`
30×	`cancel-sign-sub-inv_binary64_2772`
26×	`add-cube-cbrt_binary64_2841`
10×	`distribute-lft-out--_binary64_2758`
9×	`add-exp-log_binary64_2844` `pow-unpow_binary64_2883`
7×	`pow1_binary64_2867`
6×	`add-log-exp_binary64_2845`
4×	`pow-exp_binary64_2874` `add-cbrt-cube_binary64_2842`
3×	`unpow3_binary64_2872` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `cube-mult_binary64_2836`
2×	`flip3--_binary64_2810` `flip--_binary64_2781` `associate-/r/_binary64_2752`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `diff-log_binary64_2898` `sub-neg_binary64_2799` `difference-cubes_binary64_2808`

Counts

4 → 406

Calls

4 calls:

339.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
9.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
6.0ms	(pow.f64 (-.f64 1 x1) 12)
5.0ms	(pow.f64 (-.f64 1 x1) 6)

series398.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
98.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
21.0ms	(pow.f64 (-.f64 1 x1) 6)
21.0ms	(pow.f64 (-.f64 1 x1) 12)

simplify196.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5091	17732

prune3.7s (43.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	417	1	418
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	418	2	420

Merged error: 4.1b

Counts

420 → 2

Compiler

Compiled 36942 to 26104 computations (29.3% saved)

regimes202.0ms (2.4%)

Compiler: Compiled 3248 to 2439 computations (24.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	214
1	94	214

end0.0ms (0%)

sample1.2s (13.8%)

Algorithm

1×

intervals

Results

224.0ms	8000×	pre	128	true
170.0ms	8000×	body	128	valid

Compiler

Compiled 834 to 621 computations (25.5% saved)

Details

analyze3.0ms (0%)

sample17.0ms (0.2%)

simplify210.0ms (2.4%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite26.0ms (0.3%)

series125.0ms (1.5%)

simplify55.0ms (0.6%)

prune49.0ms (0.6%)

localize10.0ms (0.1%)

rewrite81.0ms (0.9%)

series473.0ms (5.5%)

simplify64.0ms (0.8%)

prune137.0ms (1.6%)

localize21.0ms (0.2%)

rewrite145.0ms (1.7%)

series273.0ms (3.2%)

simplify73.0ms (0.9%)

prune584.0ms (6.8%)

localize34.0ms (0.4%)

rewrite488.0ms (5.7%)

series398.0ms (4.7%)

simplify196.0ms (2.3%)

prune3.7s (43.3%)

regimes202.0ms (2.4%)

bsearch1.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.2s (13.8%)

Profiling