Details

analyze264.0ms (2.8%)

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)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
9.0ms	286×	pre	128	true
1.0ms	30×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify371.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

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

27.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
27.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
9×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `associate-/l*_binary64_2069` `times-frac_binary64_2130`
4×	`cancel-sign-sub-inv_binary64_2090` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `sqrt-prod_binary64_2140` `associate-r_binary64_2064`
2×	`cbrt-undiv_binary64_2158` `diff-log_binary64_2216` `sub-neg_binary64_2117` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `-commutative_binary64_2055` `associate-/r_binary64_2068` `associate-l_binary64_2065` `div-sub_binary64_2129` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 77

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series602.0ms (6.5%)

Counts

4 → 60

Calls

4 calls:

210.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
173.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
160.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
59.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1692 to 1453 computations (14.1% saved)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5268	2923

prune180.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	125	12	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	12	138

Error

0.8b

Counts

138 → 12

Compiler

Compiled 3332 to 1967 computations (41% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite77.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

132×	`add-exp-log_binary64_2162`
64×	`prod-exp_binary64_2173`
41×	`add-cbrt-cube_binary64_2160`
39×	`div-exp_binary64_2175`
31×	`times-frac_binary64_2130`
28×	`associate-r_binary64_2064`
27×	`add-sqr-sqrt_binary64_2146`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
21×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193`
19×	`unpow-prod-down_binary64_2203` `associate-/r*_binary64_2068`
16×	`cbrt-unprod_binary64_2157`
13×	`cube-prod_binary64_2152`
9×	`cbrt-undiv_binary64_2158`
7×	`sqr-pow_binary64_2096`
6×	`pow1_binary64_2185`
5×	`unswap-sqr_binary64_2092`
4×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `add-log-exp_binary64_2163` `associate-l_binary64_2065`
3×	`div-inv_binary64_2121`
2×	`clear-num_binary64_2123` `associate-/l_binary64_2069` `-commutative_binary64_2055` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `associate-*r/_binary64_2066`

Counts

4 → 173

Calls

4 calls:

14.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
10.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

series857.0ms (9.2%)

Counts

4 → 33

Calls

4 calls:

278.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
242.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
224.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
112.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2970 to 2376 computations (20% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5188	3112

prune655.0ms (7.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	203	3	206
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	204	14	218

Error

0.8b

Counts

218 → 14

Compiler

Compiled 10425 to 6556 computations (37.1% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
0.4b	(.f64 (.f64 a a) (*.f64 c c))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite59.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`add-exp-log_binary64_2162`
42×	`prod-exp_binary64_2173`
39×	`add-cbrt-cube_binary64_2160`
35×	`pow1_binary64_2185`
27×	`add-sqr-sqrt_binary64_2146`
19×	`unpow-prod-down_binary64_2203`
18×	`cbrt-unprod_binary64_2157`
16×	`pow-prod-down_binary64_2195`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `div-exp_binary64_2175`
13×	`pow-exp_binary64_2192`
12×	`associate-/r*_binary64_2068` `pow-to-exp_binary64_2193` `times-frac_binary64_2130`
11×	`sqr-pow_binary64_2096`
10×	`unswap-sqr_binary64_2092`
8×	`associate-l_binary64_2065` `associate-r_binary64_2064`
7×	`cube-prod_binary64_2152`
5×	`cbrt-undiv_binary64_2158`
4×	`pow-prod-up_binary64_2194` `add-log-exp_binary64_2163` `pow-plus_binary64_2187`
3×	`unpow3_binary64_2190` `pow-unpow_binary64_2201` `cube-mult_binary64_2154`
2×	`pow-pow_binary64_2196` `*-commutative_binary64_2055` `pow2_binary64_2205` `pow-sqr_binary64_2097` `rem-cube-cbrt_binary64_2147`
1×	`clear-num_binary64_2123` `associate-/l*_binary64_2069` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 148

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
10.0ms	(.f64 (.f64 a a) (*.f64 c c))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
4.0ms	(pow.f64 (*.f64 a c) 3)

series580.0ms (6.2%)

Counts

4 → 27

Calls

4 calls:

245.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
132.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
107.0ms	(pow.f64 (*.f64 a c) 3)
96.0ms	(.f64 (.f64 a a) (*.f64 c c))

Compiler

Compiled 2778 to 2148 computations (22.7% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5095	1922

prune497.0ms (5.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	174	15	189

Error

0.7b

Counts

189 → 15

Compiler

Compiled 9722 to 6009 computations (38.2% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(.f64 (pow.f64 c 3) (.f64 a a))
39.0b	(log.f64 (exp.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))))

rewrite59.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log_binary64_2162`
45×	`prod-exp_binary64_2173`
30×	`div-exp_binary64_2175`
27×	`add-cbrt-cube_binary64_2160`
26×	`times-frac_binary64_2130`
24×	`add-sqr-sqrt_binary64_2146`
21×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`unpow-prod-down_binary64_2203` `associate-/r*_binary64_2068`
18×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193`
12×	`log-pow_binary64_2213` `associate-l_binary64_2065`
11×	`exp-prod_binary64_2176`
10×	`cube-prod_binary64_2152`
9×	`cbrt-unprod_binary64_2157`
7×	`sqr-pow_binary64_2096`
6×	`cbrt-undiv_binary64_2158`
5×	`pow1_binary64_2185`
4×	`unswap-sqr_binary64_2092` `add-log-exp_binary64_2163`
3×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `log-prod_binary64_2210` `div-inv_binary64_2121`
2×	`clear-num_binary64_2123` `associate-/l*_binary64_2069` `frac-2neg_binary64_2135`
1×	`rem-log-exp_binary64_2165` `-commutative_binary64_2055` `associate-r*_binary64_2064`

Counts

4 → 152

Calls

4 calls:

11.0ms	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
10.0ms	(.f64 (pow.f64 c 3) (.f64 a a))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
6.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))))

series1.3s (14.4%)

Counts

4 → 33

Calls

4 calls:

728.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))))
296.0ms	(/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5))
203.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
107.0ms	(.f64 (pow.f64 c 3) (.f64 a a))

Compiler

Compiled 3090 to 2496 computations (19.2% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5125	2852

prune564.0ms (6.1%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	182	18	200

Error

0.7b

Counts

200 → 18

Compiler

Compiled 9285 to 5928 computations (36.2% saved)

regimes556.0ms (6%)

Accuracy

Total 5.0b remaining (87.9%)

Threshold costs 0b (0%)

Compiler

Compiled 7520 to 5643 computations (25% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample2.1s (23%)

Algorithm

1×

intervals

Results

388.0ms	7704×	body	128	valid
274.0ms	8933×	pre	128	true
43.0ms	933×	body	128	nan
30.0ms	296×	body	256	valid

Compiler

Compiled 1490 to 1120 computations (24.8% saved)

Details

analyze264.0ms (2.8%)

sample33.0ms (0.4%)

simplify371.0ms (4%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite39.0ms (0.4%)

series602.0ms (6.5%)

simplify57.0ms (0.6%)

prune180.0ms (1.9%)

localize32.0ms (0.3%)

rewrite77.0ms (0.8%)

series857.0ms (9.2%)

simplify83.0ms (0.9%)

prune655.0ms (7.1%)

localize38.0ms (0.4%)

rewrite59.0ms (0.6%)

series580.0ms (6.2%)

simplify77.0ms (0.8%)

prune497.0ms (5.4%)

localize33.0ms (0.4%)

rewrite59.0ms (0.6%)

series1.3s (14.4%)

simplify85.0ms (0.9%)

prune564.0ms (6.1%)

regimes556.0ms (6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.1s (23%)

Profiling