Details

analyze416.0ms (6.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
50%	25%	25%	3
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	13
50%	0%	50%	14
50%	0%	50%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample275.0ms (4.4%)

Algorithm

2×

intervals

Results

23.0ms	536×	body	128	nan
20.0ms	512×	body	128	valid

Compiler

Compiled 7589 to 7082 computations (6.7% saved)

simplify279.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (272.0ms)

Iter	Nodes	Cost
0	5830	21

prune3.0ms (0%)

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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.4b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite146.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_23970`
12×	`*-un-lft-identity_binary64_23948`
10×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
9×	`add-cube-cbrt_binary64_23983`
8×	`add-log-exp_binary64_23987`
7×	`associate-r_binary64_23888`
6×	`cancel-sign-sub-inv_binary64_23914`
5×	`pow1_binary64_24009`
4×	`associate-*r/_binary64_23890` `distribute-rgt-in_binary64_23898` `distribute-lft-in_binary64_23897`
3×	`times-frac_binary64_23954` `associate-/r_binary64_23892` `associate-l*_binary64_23889` `sum-log_binary64_24039`
2×	`prod-exp_binary64_23997` `div-exp_binary64_23999` `cbrt-undiv_binary64_23982` `cbrt-unprod_binary64_23981` `flip3--_binary64_23952` `associate-/l/_binary64_23895` `flip--_binary64_23923` `flip3-+_binary64_23951` `associate-/r/_binary64_23894` `flip-+_binary64_23922` `sub-neg_binary64_23941` `difference-of-squares_binary64_23917`
1×	`frac-2neg_binary64_23959` `clear-num_binary64_23947` `div-inv_binary64_23945` `associate-/l_binary64_23893` `pow-prod-down_binary64_24019` `unswap-sqr_binary64_23916` `difference-of-sqr-1_binary64_23918` `distribute-lft-out--_binary64_23900` `-commutative_binary64_23879` `associate-+l+_binary64_23881` `+-commutative_binary64_23878`

Counts

3 → 70

Calls

3 calls:

12.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
8.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1600 to 1190 computations (25.6% saved)

series95.0ms (1.5%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

43.0ms	(*.f64 6 (-.f64 x 1))
24.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
18.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 320 to 271 computations (15.3% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5173	1147

prune112.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Error

0.0b

Counts

83 → 5

Compiler

Compiled 1596 to 1180 computations (26.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite218.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-sqr-sqrt_binary64_23970`
48×	`*-un-lft-identity_binary64_23948`
43×	`times-frac_binary64_23954`
27×	`add-cube-cbrt_binary64_23983` `associate-r_binary64_23888`
14×	`difference-of-squares_binary64_23917`
10×	`add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
8×	`add-log-exp_binary64_23987`
7×	`difference-of-sqr-1_binary64_23918` `distribute-lft-out--_binary64_23900` `associate-/l*_binary64_23893`
5×	`pow1_binary64_24009`
4×	`associate-/r/_binary64_23894`
3×	`flip3-+_binary64_23951` `flip-+_binary64_23922` `associate-/r_binary64_23892` `associate-l*_binary64_23889` `sum-log_binary64_24039`
2×	`div-exp_binary64_23999` `cbrt-undiv_binary64_23982` `div-inv_binary64_23945` `associate-/l/_binary64_23895` `prod-exp_binary64_23997` `cbrt-unprod_binary64_23981` `unswap-sqr_binary64_23916`
1×	`frac-2neg_binary64_23959` `div-sub_binary64_23953` `clear-num_binary64_23947` `flip3--_binary64_23952` `flip--_binary64_23923` `pow-prod-down_binary64_24019` `associate-r/_binary64_23890` `-commutative_binary64_23879` `associate-+l+_binary64_23881` `+-commutative_binary64_23878`

Counts

3 → 107

Calls

3 calls:

17.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2917 to 2119 computations (27.4% saved)

series76.0ms (1.2%)

Error

0.0b

Counts

3 → 9

Calls

3 calls:

27.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
27.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
18.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 187 to 177 computations (5.3% saved)

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5682	2799

prune176.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Error

Counts

121 → 4

Compiler

Compiled 2799 to 2038 computations (27.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))) 3)))
0.1b	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
0.1b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3))
0.1b	(pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3)

rewrite586.0ms (9.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

110×	`*-un-lft-identity_binary64_23948`
90×	`cbrt-prod_binary64_23979`
86×	`times-frac_binary64_23954`
81×	`add-sqr-sqrt_binary64_23970`
66×	`add-cube-cbrt_binary64_23983`
56×	`unpow-prod-down_binary64_24027` `cube-prod_binary64_23976`
45×	`associate-r_binary64_23888`
22×	`distribute-lft-out_binary64_23899`
14×	`associate-/r/_binary64_23894`
11×	`add-exp-log_binary64_23986`
10×	`add-cbrt-cube_binary64_23984`
8×	`flip3-+_binary64_23951` `flip-+_binary64_23922`
7×	`div-inv_binary64_23945` `pow1_binary64_24009` `unswap-sqr_binary64_23916`
4×	`add-log-exp_binary64_23987` `sqr-pow_binary64_23920` `associate-/l*_binary64_23893`
3×	`pow-unpow_binary64_24025` `unpow3_binary64_24014` `cube-mult_binary64_23978` `cube-div_binary64_23977` `associate-/r_binary64_23892` `associate-l*_binary64_23889`
2×	`div-exp_binary64_23999` `pow-exp_binary64_24016` `rem-cube-cbrt_binary64_23971` `cbrt-undiv_binary64_23982` `cbrt-div_binary64_23980` `associate-/l/_binary64_23895`
1×	`pow-pow_binary64_24020` `pow-to-exp_binary64_24017` `pow1/3_binary64_24030` `rem-cbrt-cube_binary64_23972` `frac-2neg_binary64_23959` `clear-num_binary64_23947` `pow-prod-down_binary64_24019` `prod-exp_binary64_23997` `cbrt-unprod_binary64_23981` `associate-r/_binary64_23890` `-commutative_binary64_23879`

Counts

4 → 210

Calls

4 calls:

26.0ms	(.f64 6 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))) 3)))
14.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
13.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3)

Compiler

Compiled 6993 to 5417 computations (22.5% saved)

series124.0ms (2%)

Error

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3)
31.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3))
29.0ms	(.f64 6 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))) 3)))
25.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 286 to 287 computations (-0.3% saved)

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5110	5967

prune415.0ms (6.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	222	4	226

Error

Counts

226 → 4

Compiler

Compiled 5798 to 4457 computations (23.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6))
0.0b	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
1.3b	(pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6)

rewrite264.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`*-un-lft-identity_binary64_23948`
36×	`exp-prod_binary64_24000` `times-frac_binary64_23954`
33×	`add-cube-cbrt_binary64_23983` `add-sqr-sqrt_binary64_23970`
19×	`pow-pow_binary64_24020`
10×	`distribute-lft-out_binary64_23899`
7×	`add-exp-log_binary64_23986` `log-prod_binary64_24034`
6×	`unpow-prod-down_binary64_24027` `associate-/r/_binary64_23894` `add-cbrt-cube_binary64_23984`
5×	`pow1_binary64_24009` `add-log-exp_binary64_23987`
4×	`flip3-+_binary64_23951` `flip-+_binary64_23922` `associate-/l*_binary64_23893`
3×	`pow-unpow_binary64_24025` `div-inv_binary64_23945` `associate-/r*_binary64_23892` `rem-log-exp_binary64_23989`
2×	`pow-to-exp_binary64_24017` `pow-exp_binary64_24016` `sqr-pow_binary64_23920` `associate-/l/_binary64_23895`
1×	`div-exp_binary64_23999` `cbrt-undiv_binary64_23982` `frac-2neg_binary64_23959` `clear-num_binary64_23947` `rem-exp-log_binary64_23988` `log-pow_binary64_24037`

Counts

4 → 114

Calls

4 calls:

14.0ms	(pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6)
11.0ms	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
11.0ms	(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6))
10.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 3362 to 2554 computations (24% saved)

series192.0ms (3.1%)

Error

Counts

4 → 12

Calls

4 calls:

64.0ms	(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6))
63.0ms	(pow.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))) 6)
30.0ms	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
27.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 350 to 332 computations (5.1% saved)

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5267	2914

prune193.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	126	4	130

Error

Counts

130 → 4

Compiler

Compiled 3082 to 2334 computations (24.3% saved)

regimes226.0ms (3.6%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 2438 to 2010 computations (17.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	21
1	26	21

end0.0ms (0%)

sample2.1s (33.6%)

Algorithm

1×

intervals

Results

320.0ms	8000×	body	128	valid
317.0ms	8231×	body	128	nan

Compiler

Compiled 1171 to 967 computations (17.4% saved)

Details

analyze416.0ms (6.7%)

sample275.0ms (4.4%)

simplify279.0ms (4.5%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite146.0ms (2.3%)

series95.0ms (1.5%)

simplify57.0ms (0.9%)

prune112.0ms (1.8%)

localize11.0ms (0.2%)

rewrite218.0ms (3.5%)

series76.0ms (1.2%)

simplify84.0ms (1.3%)

prune176.0ms (2.8%)

localize11.0ms (0.2%)

rewrite586.0ms (9.4%)

series124.0ms (2%)

simplify81.0ms (1.3%)

prune415.0ms (6.7%)

localize12.0ms (0.2%)

rewrite264.0ms (4.2%)

series192.0ms (3.1%)

simplify74.0ms (1.2%)

prune193.0ms (3.1%)

regimes226.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (33.6%)

Profiling