Details

analyze485.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

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)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
11.0ms	283×	pre	128	true
1.0ms	27×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify277.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (272.0ms)

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

31.5b

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))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
31.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite141.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

Rules

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

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series653.0ms (4.9%)

Error

1.0b

Counts

4 → 60

Calls

4 calls:

207.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
162.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
156.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
60.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5268	2923

prune161.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	10	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Error

0.7b

Counts

138 → 10

Compiler

Compiled 3236 to 1803 computations (44.3% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite628.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

109×	`add-exp-log_binary64_2162`
54×	`prod-exp_binary64_2173`
42×	`add-sqr-sqrt_binary64_2146`
30×	`div-exp_binary64_2175`
29×	`add-cbrt-cube_binary64_2160` `unpow-prod-down_binary64_2203`
24×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`times-frac_binary64_2130` `associate-/r_binary64_2068` `associate-r*_binary64_2064`
16×	`cube-prod_binary64_2152` `unswap-sqr_binary64_2092`
15×	`sqr-pow_binary64_2096`
13×	`associate-l_binary64_2065`
10×	`cbrt-unprod_binary64_2157`
6×	`cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069` `-commutative_binary64_2055`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series855.0ms (6.4%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

293.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
255.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
137.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
109.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune568.0ms (4.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	207	11	218

Error

0.7b

Counts

218 → 11

Compiler

Compiled 10407 to 6478 computations (37.8% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite826.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

88×	`add-exp-log_binary64_2162`
68×	`times-frac_binary64_2130`
46×	`pow1_binary64_2185`
42×	`unpow-prod-down_binary64_2203`
39×	`add-cbrt-cube_binary64_2160`
37×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
36×	`prod-exp_binary64_2173`
27×	`div-exp_binary64_2175`
20×	`sqr-pow_binary64_2096`
19×	`associate-/r*_binary64_2068`
18×	`pow-prod-down_binary64_2195`
17×	`pow-exp_binary64_2192` `cbrt-unprod_binary64_2157`
15×	`cube-prod_binary64_2152`
13×	`pow-to-exp_binary64_2193`
11×	`unpow3_binary64_2190` `cube-mult_binary64_2154`
9×	`associate-/l*_binary64_2069`
6×	`cbrt-undiv_binary64_2158`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`pow-unpow_binary64_2201`
2×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 205

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 12069 to 7095 computations (41.2% saved)

series813.0ms (6%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

307.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
242.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
103.0ms	(pow.f64 (*.f64 a c) 3)
94.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4680 to 3396 computations (27.4% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5132	3471

prune782.0ms (5.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	234	12	246

Error

0.7b

Counts

246 → 12

Compiler

Compiled 13099 to 8064 computations (38.4% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
35.4b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

rewrite518.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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-to-exp_binary64_2193` `pow-exp_binary64_2192`
12×	`log-pow_binary64_2213` `associate-r_binary64_2064`
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×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092`
3×	`div-inv_binary64_2121` `log-prod_binary64_2210` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l*_binary64_2069`
1×	`rem-log-exp_binary64_2165` `associate-l_binary64_2065` `*-commutative_binary64_2055`

Counts

4 → 152

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
5.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

Compiler

Compiled 8216 to 5239 computations (36.2% saved)

series1.3s (9.5%)

Error

0.7b

Counts

4 → 33

Calls

4 calls:

581.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
294.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
230.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
109.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4629 to 3556 computations (23.2% saved)

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5143	2841

prune827.0ms (6.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	184	13	197

Error

0.7b

Counts

197 → 13

Compiler

Compiled 9269 to 5912 computations (36.2% saved)

regimes965.0ms (7.2%)

Accuracy

Total 5.0b remaining (87.9%)

Threshold costs 0b (0%)

Compiler

Compiled 13701 to 10033 computations (26.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	241	69
1	241	69

end0.0ms (0%)

sample3.2s (23.8%)

Algorithm

1×

intervals

Results

394.0ms	7704×	body	128	valid
276.0ms	9021×	pre	128	true
46.0ms	1021×	body	128	nan
32.0ms	296×	body	256	valid

Compiler

Compiled 2632 to 1937 computations (26.4% saved)

Details

analyze485.0ms (3.6%)

sample40.0ms (0.3%)

simplify277.0ms (2.1%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite141.0ms (1%)

series653.0ms (4.9%)

simplify61.0ms (0.5%)

prune161.0ms (1.2%)

localize30.0ms (0.2%)

rewrite628.0ms (4.7%)

series855.0ms (6.4%)

simplify86.0ms (0.6%)

prune568.0ms (4.2%)

localize29.0ms (0.2%)

rewrite826.0ms (6.1%)

series813.0ms (6%)

simplify90.0ms (0.7%)

prune782.0ms (5.8%)

localize36.0ms (0.3%)

rewrite518.0ms (3.9%)

series1.3s (9.5%)

simplify80.0ms (0.6%)

prune827.0ms (6.1%)

regimes965.0ms (7.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.2s (23.8%)

Profiling