Details

analyze1.1s (6.6%)

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)

sample87.0ms (0.5%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
18.0ms	202×	body	128	invalid
12.0ms	144×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify233.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (222.0ms)

Iter	Nodes	Cost
0	4864	25
1	4864	25

prune4.0ms (0%)

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)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite200.0ms (1.3%)

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` `sqr-pow_binary64_23579` `pow1/2_binary64_23687`
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:

20.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
15.0ms	(.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)

series1.3s (8.3%)

Error

0.1b

Counts

4 → 48

Calls

4 calls:

843.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
329.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
51.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
37.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2978 to 2180 computations (26.8% saved)

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5014	2586

prune189.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	131	9	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	10	141

Error

0.0b

Counts

141 → 10

Compiler

Compiled 3104 to 1764 computations (43.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite264.0ms (1.7%)

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` `pow-to-exp_binary64_23676` `pow-exp_binary64_23675` `exp-prod_binary64_23659`
2×	`unswap-sqr_binary64_23575` `associate-*l/_binary64_23550`
1×	`sqr-pow_binary64_23579` `pow1/2_binary64_23687` `rem-sqrt-square_binary64_23620`

Counts

4 → 120

Calls

4 calls:

19.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
16.0ms	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))
9.0ms	(.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)

series1.3s (8.2%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

788.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
277.0ms	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))
149.0ms	(.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))
25.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 3316 to 2440 computations (26.4% saved)

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5480	3524

prune224.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	175	9	184

Error

Counts

184 → 9

Compiler

Compiled 3887 to 2137 computations (45% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.2b	(.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2)))
0.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (sqrt.f64 z) (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (*.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2)))))

rewrite420.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

105×	`add-exp-log_binary64_23645`
79×	`prod-exp_binary64_23656`
42×	`add-cbrt-cube_binary64_23643`
41×	`cbrt-unprod_binary64_23640`
36×	`pow1_binary64_23668`
22×	`pow-prod-down_binary64_23678`
21×	`associate-r_binary64_23547`
19×	`add-sqr-sqrt_binary64_23629`
13×	`add-cube-cbrt_binary64_23642` `*-un-lft-identity_binary64_23607`
11×	`associate-l_binary64_23548`
10×	`associate-l/_binary64_23550` `associate-r/_binary64_23549` `sqrt-prod_binary64_23623`
8×	`cbrt-prod_binary64_23638`
6×	`pow-to-exp_binary64_23676` `pow-exp_binary64_23675` `unpow-prod-down_binary64_23686`
4×	`add-log-exp_binary64_23646` `flip3--_binary64_23611` `flip--_binary64_23582` `*-commutative_binary64_23538`
3×	`unswap-sqr_binary64_23575`
1×	`sqr-pow_binary64_23579`

Counts

4 → 129

Calls

4 calls:

37.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
22.0ms	(.f64 (sqrt.f64 z) (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (*.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2)))))
15.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2))))
13.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2)))

Compiler

Compiled 4865 to 3274 computations (32.7% saved)

series1.7s (10.5%)

Error

Counts

4 → 60

Calls

4 calls:

813.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
358.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2)))
275.0ms	(.f64 (sqrt.f64 z) (.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (*.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2)))))
150.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (-.f64 (.f64 1/2 x) y) (cbrt.f64 (sqrt.f64 2))))

Compiler

Compiled 3910 to 2974 computations (23.9% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5285	3934

prune291.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	189	9	198

Error

Counts

198 → 9

Compiler

Compiled 4523 to 2658 computations (41.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.2b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))

rewrite364.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`add-exp-log_binary64_23645`
40×	`prod-exp_binary64_23656`
34×	`add-cbrt-cube_binary64_23643`
27×	`sqrt-prod_binary64_23623`
22×	`add-sqr-sqrt_binary64_23629`
21×	`associate-r_binary64_23547`
20×	`pow1_binary64_23668` `cbrt-unprod_binary64_23640`
19×	`associate-l_binary64_23548`
16×	`add-cube-cbrt_binary64_23642` `*-un-lft-identity_binary64_23607`
10×	`pow-prod-down_binary64_23678` `associate-l/_binary64_23550` `associate-r/_binary64_23549`
6×	`unpow-prod-down_binary64_23686`
4×	`add-log-exp_binary64_23646` `flip3--_binary64_23611` `flip--_binary64_23582` `*-commutative_binary64_23538` `pow-to-exp_binary64_23676` `pow-exp_binary64_23675`
3×	`unswap-sqr_binary64_23575`
1×	`sqr-pow_binary64_23579`

Counts

4 → 117

Calls

4 calls:

30.0ms	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))))
26.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
14.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.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)))

Compiler

Compiled 3844 to 2447 computations (36.3% saved)

series1.5s (9.2%)

Error

Counts

4 → 60

Calls

4 calls:

796.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
276.0ms	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))))
163.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))
152.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))

Compiler

Compiled 3742 to 2806 computations (25% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5368	3656

prune246.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	4	5
Picked	0	1	1
Done	1	2	3
Total	178	8	186

Error

Counts

186 → 8

Compiler

Compiled 4003 to 2233 computations (44.2% saved)

regimes2.1s (13.3%)

Accuracy

Total 0.3b remaining (98.4%)

Threshold costs 0.3b (98.4%)

Compiler

Compiled 19379 to 17495 computations (9.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	25
1	30	25

end0.0ms (0%)

sample4.0s (25.3%)

Algorithm

1×

intervals

Results

538.0ms	8000×	body	128	valid
442.0ms	6048×	body	128	invalid
297.0ms	4410×	body	128	nan

Compiler

Compiled 1518 to 1368 computations (9.9% saved)

Details

analyze1.1s (6.6%)

sample87.0ms (0.5%)

simplify233.0ms (1.5%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite200.0ms (1.3%)

series1.3s (8.3%)

simplify105.0ms (0.7%)

prune189.0ms (1.2%)

localize13.0ms (0.1%)

rewrite264.0ms (1.7%)

series1.3s (8.2%)

simplify77.0ms (0.5%)

prune224.0ms (1.4%)

localize32.0ms (0.2%)

rewrite420.0ms (2.6%)

series1.7s (10.5%)

simplify88.0ms (0.6%)

prune291.0ms (1.8%)

localize16.0ms (0.1%)

rewrite364.0ms (2.3%)

series1.5s (9.2%)

simplify72.0ms (0.5%)

prune246.0ms (1.5%)

regimes2.1s (13.3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.0s (25.3%)

Profiling