Details

analyze539.0ms (14%)

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify298.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5605	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: 12.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
11.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_17301`
14×	`*-un-lft-identity_binary64_17279`
9×	`add-exp-log_binary64_17317` `add-cbrt-cube_binary64_17315`
8×	`add-cube-cbrt_binary64_17314`
6×	`cancel-sign-sub-inv_binary64_17245`
5×	`associate-/r_binary64_17223` `times-frac_binary64_17285` `associate-r*_binary64_17219`
4×	`pow1_binary64_17340` `associate-*r/_binary64_17221` `distribute-lft-in_binary64_17228` `distribute-rgt-in_binary64_17229`
3×	`flip3--_binary64_17283` `associate-l_binary64_17220` `difference-of-squares_binary64_17248` `distribute-lft-out--_binary64_17231` `flip--_binary64_17254`
2×	`div-exp_binary64_17330` `cbrt-undiv_binary64_17313` `cbrt-unprod_binary64_17312` `associate-/l/_binary64_17226` `prod-exp_binary64_17328` `add-log-exp_binary64_17318` `associate-/r/_binary64_17225` `sub-neg_binary64_17272`
1×	`associate-/l_binary64_17224` `clear-num_binary64_17278` `div-inv_binary64_17276` `unswap-sqr_binary64_17247` `frac-2neg_binary64_17290` `pow-prod-down_binary64_17350` `-commutative_binary64_17210`

Counts

2 → 59

Calls

2 calls:

14.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
7.0ms	(*.f64 x (-.f64 y z))

series251.0ms (6.5%)

Counts

2 → 6

Calls

2 calls:

179.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
71.0ms	(*.f64 x (-.f64 y z))

simplify57.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5307	780

prune106.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Merged error: 0.0b

Counts

66 → 5

Compiler

Compiled 1841 to 853 computations (53.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
2.2b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite48.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_17285`
194×	`*-un-lft-identity_binary64_17279` `add-sqr-sqrt_binary64_17301`
90×	`add-cube-cbrt_binary64_17314`
52×	`difference-of-squares_binary64_17248` `distribute-lft-out--_binary64_17231`
36×	`associate-/r*_binary64_17223`
11×	`associate-/r/_binary64_17225`
9×	`add-exp-log_binary64_17317` `add-cbrt-cube_binary64_17315`
8×	`associate-/l*_binary64_17224`
6×	`flip3--_binary64_17283` `div-inv_binary64_17276` `flip--_binary64_17254`
4×	`div-exp_binary64_17330` `cbrt-undiv_binary64_17313`
2×	`clear-num_binary64_17278` `pow1_binary64_17340` `frac-2neg_binary64_17290` `associate-/l/_binary64_17226` `add-log-exp_binary64_17318`
1×	`div-sub_binary64_17284`

Counts

2 → 194

Calls

2 calls:

14.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
10.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

series408.0ms (10.6%)

Counts

2 → 6

Calls

2 calls:

319.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
88.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify95.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5028	4887

prune192.0ms (5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	197	8	205

Merged error: 0b

Counts

205 → 8

Compiler

Compiled 4741 to 1205 computations (74.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
2.4b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_17301`
70×	`*-un-lft-identity_binary64_17279`
51×	`times-frac_binary64_17285`
31×	`associate-r_binary64_17219`
26×	`add-cube-cbrt_binary64_17314`
22×	`difference-of-squares_binary64_17248` `distribute-lft-out--_binary64_17231`
9×	`add-exp-log_binary64_17317` `add-cbrt-cube_binary64_17315`
5×	`associate-/l_binary64_17224` `associate-/r_binary64_17223`
4×	`pow1_binary64_17340` `associate-/r/_binary64_17225`
3×	`flip3--_binary64_17283` `associate-l_binary64_17220` `flip--_binary64_17254`
2×	`div-exp_binary64_17330` `div-inv_binary64_17276` `unswap-sqr_binary64_17247` `cbrt-undiv_binary64_17313` `cbrt-unprod_binary64_17312` `associate-/l/_binary64_17226` `prod-exp_binary64_17328` `add-log-exp_binary64_17318`
1×	`clear-num_binary64_17278` `associate-r/_binary64_17221` `frac-2neg_binary64_17290` `pow-prod-down_binary64_17350` `div-sub_binary64_17284` `-commutative_binary64_17210`

Counts

2 → 102

Calls

2 calls:

16.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
9.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

series266.0ms (6.9%)

Counts

2 → 6

Calls

2 calls:

171.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
94.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5286	1767

prune67.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	108	8	116

Merged error: 0b

Counts

116 → 8

Compiler

Compiled 1826 to 351 computations (80.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
7.4b	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64_17301`
40×	`*-un-lft-identity_binary64_17279`
31×	`times-frac_binary64_17285`
24×	`add-cube-cbrt_binary64_17314`
21×	`associate-l_binary64_17220`
9×	`add-exp-log_binary64_17317` `add-cbrt-cube_binary64_17315`
8×	`difference-of-squares_binary64_17248` `distribute-lft-out--_binary64_17231`
6×	`cancel-sign-sub-inv_binary64_17245`
5×	`associate-/r_binary64_17223` `associate-r*_binary64_17219`
4×	`pow1_binary64_17340` `flip3--_binary64_17283` `distribute-lft-in_binary64_17228` `distribute-rgt-in_binary64_17229` `flip--_binary64_17254` `associate-/r/_binary64_17225`
3×	`associate-/l*_binary64_17224`
2×	`div-exp_binary64_17330` `div-inv_binary64_17276` `unswap-sqr_binary64_17247` `associate-*r/_binary64_17221` `cbrt-undiv_binary64_17313` `cbrt-unprod_binary64_17312` `prod-exp_binary64_17328` `add-log-exp_binary64_17318` `frac-times_binary64_17289` `sub-neg_binary64_17272`
1×	`clear-num_binary64_17278` `frac-2neg_binary64_17290` `pow-prod-down_binary64_17350` `associate-l/_binary64_17222` `-commutative_binary64_17210`

Counts

2 → 91

Calls

2 calls:

16.0ms	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
6.0ms	(/.f64 x (-.f64 t z))

series390.0ms (10.1%)

Counts

2 → 6

Calls

2 calls:

315.0ms	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
74.0ms	(/.f64 x (-.f64 t z))

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5485	1470

prune61.0ms (1.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	97	8	105

Merged error: 0b

Counts

105 → 8

Compiler

Compiled 1505 to 297 computations (80.3% saved)

regimes116.0ms (3%)

Compiler: Compiled 496 to 418 computations (15.7% saved)

bsearch36.0ms (0.9%)

Steps

Iters	Range		Point
8	1.1087589936369733e-268	4.562478734474641e-264	6.066042882022291e-266
10	-1.0151311479414165e+25	-561475456253358.94	-12322005424938166.0

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	43
1	38	43

end0.0ms (0%)

sample662.0ms (17.2%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
18.0ms	578×	body	128	invalid

Compiler

Compiled 142 to 114 computations (19.7% saved)

Details

analyze539.0ms (14%)

sample21.0ms (0.5%)

simplify298.0ms (7.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite26.0ms (0.7%)

series251.0ms (6.5%)

simplify57.0ms (1.5%)

prune106.0ms (2.8%)

localize7.0ms (0.2%)

rewrite48.0ms (1.2%)

series408.0ms (10.6%)

simplify95.0ms (2.5%)

prune192.0ms (5%)

localize6.0ms (0.2%)

rewrite36.0ms (0.9%)

series266.0ms (6.9%)

simplify52.0ms (1.3%)

prune67.0ms (1.7%)

localize8.0ms (0.2%)

rewrite29.0ms (0.8%)

series390.0ms (10.1%)

simplify71.0ms (1.8%)

prune61.0ms (1.6%)

regimes116.0ms (3%)

bsearch36.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample662.0ms (17.2%)

Profiling