Details

analyze843.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4942	175
1	4942	175
0	4	4
1	4	4

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%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample56.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
10.0ms	194×	body	128	invalid
7.0ms	130×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify182.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	4864	25
1	4864	25

prune8.0ms (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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.0b	(sqrt.f64 (exp.f64 t))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite145.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-exp-log_binary64_23645`
18×	`add-sqr-sqrt_binary64_23629`
15×	`add-cube-cbrt_binary64_23642` `*-un-lft-identity_binary64_23607`
14×	`associate-r_binary64_23547`
12×	`unpow-prod-down_binary64_23686`
11×	`add-cbrt-cube_binary64_23643`
10×	`prod-exp_binary64_23656` `sqrt-prod_binary64_23623`
9×	`pow1_binary64_23668`
8×	`sqrt-pow1_binary64_23625`
6×	`associate-*l/_binary64_23550` `exp-prod_binary64_23659` `pow-pow_binary64_23679`
4×	`add-log-exp_binary64_23646` `cbrt-unprod_binary64_23640` `associate-l_binary64_23548`
3×	`pow-to-exp_binary64_23676` `pow-exp_binary64_23675` `pow-unpow_binary64_23684`
2×	`flip3--_binary64_23611` `flip--_binary64_23582` `*-commutative_binary64_23538` `pow1/2_binary64_23687` `sqr-pow_binary64_23579`
1×	`pow-prod-down_binary64_23678` `unswap-sqr_binary64_23575` `rem-sqrt-square_binary64_23620` `sqrt-pow2_binary64_23626`

Counts

4 → 92

Calls

4 calls:

14.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
10.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
4.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
2.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2193 to 1182 computations (46.1% saved)

series1.0s (8.5%)

Error

0.1b

Counts

4 → 48

Calls

4 calls:

664.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
223.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
39.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
20.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2978 to 2180 computations (26.8% saved)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5014	2586

prune161.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	132	8	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	9	141

Error

0.0b

Counts

141 → 9

Compiler

Compiled 3092 to 1751 computations (43.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.0b	(sqrt.f64 (exp.f64 t))
0.3b	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
0.4b	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))

rewrite173.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-exp-log_binary64_23645`
22×	`prod-exp_binary64_23656`
21×	`add-sqr-sqrt_binary64_23629`
20×	`add-cbrt-cube_binary64_23643`
19×	`associate-r_binary64_23547`
16×	`add-cube-cbrt_binary64_23642` `*-un-lft-identity_binary64_23607`
13×	`sqrt-prod_binary64_23623`
12×	`pow1_binary64_23668`
10×	`cbrt-unprod_binary64_23640`
8×	`associate-l_binary64_23548`
6×	`associate-r/_binary64_23549` `associate-l/_binary64_23550` `cancel-sign-sub-inv_binary64_23573` `unpow-prod-down_binary64_23686`
4×	`pow-prod-down_binary64_23678` `add-log-exp_binary64_23646` `distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556` `sqrt-pow1_binary64_23625`
3×	`flip3--_binary64_23611` `flip--_binary64_23582` `*-commutative_binary64_23538` `exp-prod_binary64_23659` `pow-to-exp_binary64_23676` `pow-exp_binary64_23675`
2×	`unswap-sqr_binary64_23575` `sub-neg_binary64_23600`
1×	`pow1/2_binary64_23687` `rem-sqrt-square_binary64_23620` `sqr-pow_binary64_23579`

Counts

4 → 104

Calls

4 calls:

20.0ms	(.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
11.0ms	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))
9.0ms	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
2.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2671 to 1389 computations (48% saved)

series1.1s (9.7%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

692.0ms	(.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
230.0ms	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))
144.0ms	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
22.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 3544 to 2557 computations (27.8% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5214	3120

prune173.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	163	7	170

Error

Counts

170 → 7

Compiler

Compiled 3507 to 1847 computations (47.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.0b	(sqrt.f64 (exp.f64 t))
0.4b	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))
0.5b	(.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))

rewrite189.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-exp-log_binary64_23645`
25×	`add-sqr-sqrt_binary64_23629`
22×	`prod-exp_binary64_23656`
20×	`add-cbrt-cube_binary64_23643` `add-cube-cbrt_binary64_23642` `*-un-lft-identity_binary64_23607` `distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556`
18×	`cancel-sign-sub-inv_binary64_23573`
14×	`associate-r_binary64_23547`
13×	`sqrt-prod_binary64_23623` `associate-l_binary64_23548`
12×	`pow1_binary64_23668`
10×	`cbrt-unprod_binary64_23640` `associate-*r/_binary64_23549`
6×	`sub-neg_binary64_23600` `unpow-prod-down_binary64_23686`
4×	`pow-prod-down_binary64_23678` `add-log-exp_binary64_23646` `sqrt-pow1_binary64_23625`
3×	`flip3--_binary64_23611` `flip--_binary64_23582` `*-commutative_binary64_23538` `exp-prod_binary64_23659` `pow-to-exp_binary64_23676` `pow-exp_binary64_23675`
2×	`unswap-sqr_binary64_23575` `associate-*l/_binary64_23550`
1×	`pow1/2_binary64_23687` `rem-sqrt-square_binary64_23620` `sqr-pow_binary64_23579`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
12.0ms	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))
10.0ms	(.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))
2.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 3107 to 1626 computations (47.7% saved)

series1.1s (9.5%)

Error

Counts

4 → 54

Calls

4 calls:

671.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
235.0ms	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))
134.0ms	(.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))
28.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 3316 to 2440 computations (26.4% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5480	3524

prune192.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	174	7	181

Error

Counts

181 → 7

Compiler

Compiled 3832 to 2083 computations (45.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.3b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))

rewrite195.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`sqrt-prod_binary64_23623`
22×	`add-sqr-sqrt_binary64_23629`
21×	`pow1_binary64_23668`
20×	`add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643`
19×	`associate-r_binary64_23547`
15×	`add-cube-cbrt_binary64_23642` `*-un-lft-identity_binary64_23607`
10×	`pow-prod-down_binary64_23678` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `associate-l_binary64_23548`
8×	`associate-*l/_binary64_23550`
4×	`add-log-exp_binary64_23646` `associate-*r/_binary64_23549` `sqrt-pow1_binary64_23625`
3×	`flip3--_binary64_23611` `flip--_binary64_23582` `*-commutative_binary64_23538` `unswap-sqr_binary64_23575` `exp-prod_binary64_23659`
1×	`pow1/2_binary64_23687` `rem-sqrt-square_binary64_23620`

Counts

4 → 96

Calls

4 calls:

17.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
13.0ms	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))
10.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))
3.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2957 to 1923 computations (35% saved)

series748.0ms (6.3%)

Error

Counts

4 → 48

Calls

4 calls:

257.0ms	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))
257.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
158.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))
23.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2966 to 2427 computations (18.2% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4977	2372
1	4977	2372

prune181.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	144	7	151

Error

Counts

151 → 7

Compiler

Compiled 3498 to 2157 computations (38.3% saved)

regimes1.7s (14.6%)

Accuracy

Total 0.3b remaining (98.4%)

Threshold costs 0.3b (98.4%)

Compiler

Compiled 20126 to 18160 computations (9.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	25
1	30	25

end0.0ms (0%)

sample3.2s (27.4%)

Algorithm

1×

intervals

Results

441.0ms	8000×	body	128	valid
333.0ms	6190×	body	128	invalid
248.0ms	4490×	body	128	nan

Compiler

Compiled 1561 to 1406 computations (9.9% saved)

Details

analyze843.0ms (7.1%)

sample56.0ms (0.5%)

simplify182.0ms (1.5%)

prune8.0ms (0.1%)

localize13.0ms (0.1%)

rewrite145.0ms (1.2%)

series1.0s (8.5%)

simplify93.0ms (0.8%)

prune161.0ms (1.4%)

localize13.0ms (0.1%)

rewrite173.0ms (1.5%)

series1.1s (9.7%)

simplify64.0ms (0.5%)

prune173.0ms (1.5%)

localize14.0ms (0.1%)

rewrite189.0ms (1.6%)

series1.1s (9.5%)

simplify68.0ms (0.6%)

prune192.0ms (1.6%)

localize15.0ms (0.1%)

rewrite195.0ms (1.7%)

series748.0ms (6.3%)

simplify78.0ms (0.7%)

prune181.0ms (1.5%)

regimes1.7s (14.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.2s (27.4%)

Profiling