Details

analyze269.0ms (4.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	249×	body	128	valid
8.0ms	275×	pre	128	true
1.0ms	19×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify225.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	927	24
1	927	24

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 26.9b

Counts

2 → 1

Compiler

Compiled 65 to 53 computations (18.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
26.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_101`
14×	`*-un-lft-identity_binary64_79`
9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
8×	`add-cube-cbrt_binary64_114` `add-log-exp_binary64_118`
6×	`sqrt-prod_binary64_95` `times-frac_binary64_85` `associate-/l*_binary64_24` `difference-of-squares_binary64_48`
5×	`pow1_binary64_140`
4×	`flip--_binary64_54` `flip3--_binary64_83` `cancel-sign-sub-inv_binary64_45`
3×	`distribute-lft-out--_binary64_31`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `sqrt-div_binary64_96` `diff-log_binary64_171` `associate-/l/_binary64_26` `sub-neg_binary64_72`
1×	`associate-/r*_binary64_23` `div-sub_binary64_84` `div-inv_binary64_76` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `rem-sqrt-square_binary64_92` `sqrt-pow1_binary64_97` `clear-num_binary64_78` `pow1/2_binary64_159` `frac-2neg_binary64_90`

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
12.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series546.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

219.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
134.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
123.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
70.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5031	1979

prune186.0ms (2.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	80	6	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	6	87

Merged error: 0.3b

Counts

87 → 6

Compiler

Compiled 3914 to 2586 computations (33.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 a 2))
0.4b	(/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))

rewrite54.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
22×	`times-frac_binary64_85`
20×	`*-un-lft-identity_binary64_79`
17×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
13×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128`
11×	`associate-/l*_binary64_24`
10×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
8×	`add-log-exp_binary64_118`
6×	`associate-/r/_binary64_25`
5×	`associate-/r*_binary64_23` `distribute-lft-out_binary64_30`
4×	`flip-+_binary64_53` `div-inv_binary64_76` `flip3-+_binary64_82` `pow1_binary64_140`
2×	`clear-num_binary64_78` `frac-2neg_binary64_90`
1×	`sum-log_binary64_170` `+-commutative_binary64_9` `flip--_binary64_54` `diff-log_binary64_171` `flip3--_binary64_83` `cancel-sign-sub-inv_binary64_45` `associate-/l/_binary64_26` `sub-neg_binary64_72`

Counts

4 → 99

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 a 2))
13.0ms	(/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series916.0ms (14%)

Counts

4 → 12

Calls

4 calls:

391.0ms	(/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
321.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 a 2))
138.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
65.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4960	3037
1	4960	3037

prune542.0ms (8.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	107	10	117

Merged error: 0b

Counts

117 → 10

Compiler

Compiled 11374 to 7910 computations (30.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
0.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
0.2b	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))))
0.2b	(-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_79`
15×	`add-sqr-sqrt_binary64_101`
14×	`add-cube-cbrt_binary64_114`
12×	`times-frac_binary64_85`
8×	`add-log-exp_binary64_118`
6×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
5×	`distribute-lft-out_binary64_30` `pow1_binary64_140`
4×	`associate-/r*_binary64_23`
3×	`sqrt-prod_binary64_95` `associate-/l*_binary64_24`
2×	`flip-+_binary64_53` `flip--_binary64_54` `associate-/r/_binary64_25` `sqrt-div_binary64_96` `flip3--_binary64_83` `flip3-+_binary64_82`
1×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `div-inv_binary64_76` `sum-log_binary64_170` `+-commutative_binary64_9` `rem-sqrt-square_binary64_92` `sqrt-pow1_binary64_97` `diff-log_binary64_171` `clear-num_binary64_78` `pow1/2_binary64_159` `cancel-sign-sub-inv_binary64_45` `sub-neg_binary64_72` `frac-2neg_binary64_90`

Counts

4 → 72

Calls

4 calls:

11.0ms	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))

series666.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

341.0ms	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))))
131.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
123.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
70.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5087	1969

prune311.0ms (4.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	85	9	94

Merged error: 0b

Counts

94 → 9

Compiler

Compiled 6459 to 4536 computations (29.8% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))
0.3b	(.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
0.4b	(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))))
0.8b	(pow.f64 (.f64 c (.f64 a 4)) 3)

rewrite69.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64_101`
30×	`times-frac_binary64_85` `*-un-lft-identity_binary64_79`
26×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
24×	`difference-of-squares_binary64_48` `pow1_binary64_140`
22×	`add-cube-cbrt_binary64_114`
21×	`sqr-pow_binary64_51`
12×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-prod-down_binary64_150`
10×	`associate-/l*_binary64_24`
9×	`unpow-prod-down_binary64_158`
6×	`associate-*r/_binary64_21`
5×	`distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
4×	`associate-l_binary64_20` `distribute-lft-out--_binary64_31` `add-log-exp_binary64_118` `associate-r_binary64_19`
3×	`associate-/r*_binary64_23` `pow-exp_binary64_147` `pow-unpow_binary64_156` `flip-+_binary64_53` `pow-pow_binary64_151` `rem-cube-cbrt_binary64_102` `flip3-+_binary64_82`
2×	`associate-/r/_binary64_25` `*-commutative_binary64_10` `associate-/l/_binary64_26`
1×	`cbrt-undiv_binary64_113` `pow-to-exp_binary64_148` `div-exp_binary64_130` `div-sub_binary64_84` `div-inv_binary64_76` `flip--_binary64_54` `cube-mult_binary64_109` `clear-num_binary64_78` `flip3--_binary64_83` `frac-2neg_binary64_90` `cube-prod_binary64_107` `unpow3_binary64_145`

Counts

4 → 134

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))))
12.0ms	(.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))
10.0ms	(.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
6.0ms	(pow.f64 (.f64 c (.f64 a 4)) 3)

series535.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))))
128.0ms	(.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))
100.0ms	(.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
86.0ms	(pow.f64 (.f64 c (.f64 a 4)) 3)

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5010	5901

prune419.0ms (6.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	146	9	155

Merged error: 0b

Counts

155 → 9

Compiler

Compiled 7676 to 5231 computations (31.9% saved)

regimes75.0ms (1.2%)

Compiler: Compiled 801 to 609 computations (24% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	24
1	63	24

end0.0ms (0%)

sample1.2s (18.7%)

Algorithm

1×

intervals

Results

401.0ms	7683×	body	128	valid
269.0ms	8860×	pre	128	true
41.0ms	860×	body	128	nan
31.0ms	317×	body	256	valid

Compiler

Compiled 311 to 237 computations (23.8% saved)

Details

analyze269.0ms (4.1%)

sample35.0ms (0.5%)

simplify225.0ms (3.4%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite41.0ms (0.6%)

series546.0ms (8.4%)

simplify69.0ms (1.1%)

prune186.0ms (2.9%)

localize14.0ms (0.2%)

rewrite54.0ms (0.8%)

series916.0ms (14%)

simplify75.0ms (1.1%)

prune542.0ms (8.3%)

localize12.0ms (0.2%)

rewrite34.0ms (0.5%)

series666.0ms (10.2%)

simplify73.0ms (1.1%)

prune311.0ms (4.8%)

localize24.0ms (0.4%)

rewrite69.0ms (1.1%)

series535.0ms (8.2%)

simplify98.0ms (1.5%)

prune419.0ms (6.4%)

regimes75.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (18.7%)

Profiling