Details

analyze1.5s (11.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	496
1	4965	496
0	6	6
1	6	6

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
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample27.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5141	31

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

24.7b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
1.3b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
1.6b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
23.2b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite147.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

24.6b

Rules

38×	`*-un-lft-identity_binary64_24630`
18×	`add-sqr-sqrt_binary64_24652`
16×	`add-cube-cbrt_binary64_24665`
15×	`times-frac_binary64_24636`
13×	`distribute-lft-out_binary64_24581`
11×	`add-log-exp_binary64_24669`
10×	`associate-*l/_binary64_24573`
8×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
7×	`flip3-+_binary64_24633` `flip-+_binary64_24604`
6×	`pow1_binary64_24691`
5×	`associate-/r*_binary64_24574`
4×	`frac-add_binary64_24638` `associate-l_binary64_24571`
3×	`associate-/l_binary64_24575` `associate-r*_binary64_24570`
2×	`flip3--_binary64_24634` `associate-/l/_binary64_24577` `flip--_binary64_24605` `associate-/r/_binary64_24576` `sum-log_binary64_24721` `diff-log_binary64_24722`
1×	`div-exp_binary64_24681` `cbrt-undiv_binary64_24664` `frac-2neg_binary64_24641` `div-sub_binary64_24635` `clear-num_binary64_24629` `div-inv_binary64_24627` `sub-neg_binary64_24623` `cancel-sign-sub-inv_binary64_24596` `associate--l+_binary64_24567` `+-commutative_binary64_24560` `pow-prod-down_binary64_24701` `prod-exp_binary64_24679` `cbrt-unprod_binary64_24663` `unswap-sqr_binary64_24598` `*-commutative_binary64_24561`

Counts

4 → 90

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
10.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
7.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
6.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 3256 to 447 computations (86.3% saved)

series1.9s (13.6%)

Error

3.5b

Counts

4 → 129

Calls

4 calls:

934.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
444.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
282.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
79.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 11138 to 5515 computations (50.5% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5118	8642

prune227.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	208	11	219
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	11	220

Error

3.4b

Counts

220 → 11

Compiler

Compiled 7888 to 1367 computations (82.7% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.4b	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
7.7b	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
8.1b	(/.f64 (*.f64 a t) (+.f64 y (+.f64 t x)))
9.1b	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

rewrite184.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

52×	`*-un-lft-identity_binary64_24630`
24×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666` `distribute-lft-out_binary64_24581`
20×	`times-frac_binary64_24636` `associate-/r*_binary64_24574`
12×	`add-cube-cbrt_binary64_24665` `add-sqr-sqrt_binary64_24652`
8×	`div-exp_binary64_24681` `cbrt-undiv_binary64_24664` `associate-/r/_binary64_24576`
4×	`pow1_binary64_24691` `prod-exp_binary64_24679` `add-log-exp_binary64_24669` `cbrt-unprod_binary64_24663` `frac-2neg_binary64_24641` `clear-num_binary64_24629` `div-inv_binary64_24627` `flip3-+_binary64_24633` `flip-+_binary64_24604` `associate-/l*_binary64_24575`

Counts

4 → 108

Calls

4 calls:

9.0ms	(/.f64 (*.f64 a t) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

Compiler

Compiled 6136 to 649 computations (89.4% saved)

series956.0ms (6.9%)

Error

3.4b

Counts

4 → 87

Calls

4 calls:

281.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
240.0ms	(/.f64 (*.f64 a t) (+.f64 y (+.f64 t x)))
169.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
155.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

Compiler

Compiled 13326 to 5163 computations (61.3% saved)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4983	4046
1	4983	4046

prune237.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	192	3	195
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	196	10	206

Error

1.8b

Counts

206 → 10

Compiler

Compiled 11274 to 1130 computations (90% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.4b	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))
7.4b	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
7.7b	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
9.1b	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

rewrite185.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.3b

Rules

52×	`*-un-lft-identity_binary64_24630`
24×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666` `distribute-lft-out_binary64_24581`
20×	`times-frac_binary64_24636` `associate-/r*_binary64_24574`
12×	`add-cube-cbrt_binary64_24665` `add-sqr-sqrt_binary64_24652`
8×	`div-exp_binary64_24681` `cbrt-undiv_binary64_24664` `associate-/r/_binary64_24576`
4×	`pow1_binary64_24691` `prod-exp_binary64_24679` `add-log-exp_binary64_24669` `cbrt-unprod_binary64_24663` `frac-2neg_binary64_24641` `clear-num_binary64_24629` `div-inv_binary64_24627` `flip3-+_binary64_24633` `flip-+_binary64_24604` `associate-/l*_binary64_24575`

Counts

4 → 108

Calls

4 calls:

8.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))

Compiler

Compiled 6136 to 625 computations (89.8% saved)

series859.0ms (6.2%)

Error

1.6b

Counts

4 → 74

Calls

4 calls:

285.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
171.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
160.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))
145.0ms	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))

Compiler

Compiled 11319 to 4538 computations (59.9% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4981	3142
1	4981	3142

prune217.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	182	10	192

Error

1.3b

Counts

192 → 10

Compiler

Compiled 10182 to 966 computations (90.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.9b	(*.f64 z (/.f64 x (+.f64 t (+.f64 y x))))
7.4b	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
7.7b	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
9.1b	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

rewrite197.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

65×	`*-un-lft-identity_binary64_24630`
31×	`times-frac_binary64_24636`
27×	`distribute-lft-out_binary64_24581`
25×	`add-sqr-sqrt_binary64_24652`
24×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
21×	`associate-r_binary64_24570`
20×	`add-cube-cbrt_binary64_24665`
15×	`associate-/r*_binary64_24574`
8×	`associate-/r/_binary64_24576`
7×	`div-exp_binary64_24681` `cbrt-undiv_binary64_24664`
6×	`pow1_binary64_24691`
5×	`prod-exp_binary64_24679` `cbrt-unprod_binary64_24663`
4×	`add-log-exp_binary64_24669` `div-inv_binary64_24627` `flip3-+_binary64_24633` `flip-+_binary64_24604`
3×	`frac-2neg_binary64_24641` `clear-num_binary64_24629` `associate-/l_binary64_24575` `associate-l*_binary64_24571`
2×	`unswap-sqr_binary64_24598`
1×	`pow-prod-down_binary64_24701` `associate-r/_binary64_24572` `-commutative_binary64_24561`

Counts

4 → 121

Calls

4 calls:

13.0ms	(*.f64 z (/.f64 x (+.f64 t (+.f64 y x))))
8.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))

Compiler

Compiled 6939 to 741 computations (89.3% saved)

series837.0ms (6.1%)

Error

1.3b

Counts

4 → 74

Calls

4 calls:

304.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
162.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
148.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))
139.0ms	(*.f64 z (/.f64 x (+.f64 t (+.f64 y x))))

Compiler

Compiled 11319 to 4538 computations (59.9% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5042	3484

prune213.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	196	9	205

Error

1.1b

Counts

205 → 9

Compiler

Compiled 10717 to 855 computations (92% saved)

regimes2.6s (19.2%)

Accuracy

Total 6.5b remaining (85.6%)

Threshold costs 0b (0%)

Compiler

Compiled 34288 to 17302 computations (49.5% saved)

bsearch65.0ms (0.5%)

Steps

Iters	Range		Point
7	2.0261649717592287e+133	4.043785328334525e+134	9.384766001373891e+133
9	-4.719098917950526e+211	-1.362534831673291e+202	-1.392895250809098e+202

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	118
1	88	118

end0.0ms (0%)

sample2.8s (20.6%)

Algorithm

1×

intervals

Results

438.0ms	7999×	body	128	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 5037 to 2528 computations (49.8% saved)

Details

analyze1.5s (11.1%)

sample27.0ms (0.2%)

simplify97.0ms (0.7%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite147.0ms (1.1%)

series1.9s (13.6%)

simplify83.0ms (0.6%)

prune227.0ms (1.7%)

localize23.0ms (0.2%)

rewrite184.0ms (1.3%)

series956.0ms (6.9%)

simplify95.0ms (0.7%)

prune237.0ms (1.7%)

localize26.0ms (0.2%)

rewrite185.0ms (1.3%)

series859.0ms (6.2%)

simplify91.0ms (0.7%)

prune217.0ms (1.6%)

localize22.0ms (0.2%)

rewrite197.0ms (1.4%)

series837.0ms (6.1%)

simplify79.0ms (0.6%)

prune213.0ms (1.5%)

regimes2.6s (19.2%)

bsearch65.0ms (0.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.8s (20.6%)

Profiling