Details

analyze620.0ms (3.5%)

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)

sample72.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	111×	body	256	valid
12.0ms	289×	pre	128	true
11.0ms	48×	body	512	valid
8.0ms	97×	body	128	valid
2.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify354.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (348.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune7.0ms (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

50.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
23.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite175.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

47.8b

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×	`associate-l_binary64_2065` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r_binary64_2068`

Counts

4 → 77

Calls

4 calls:

20.0ms	(/.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)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series794.0ms (4.4%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

252.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
210.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
178.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
72.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5268	2923

prune200.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Error

0.3b

Counts

138 → 7

Compiler

Compiled 3128 to 1722 computations (44.9% saved)

localize31.0ms (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 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite740.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

144×	`add-exp-log_binary64_2162`
72×	`prod-exp_binary64_2173`
51×	`div-exp_binary64_2175`
49×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
40×	`add-sqr-sqrt_binary64_2146`
29×	`unpow-prod-down_binary64_2203`
25×	`add-cbrt-cube_binary64_2160`
20×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`associate-r_binary64_2064`
16×	`unswap-sqr_binary64_2092`
15×	`sqr-pow_binary64_2096`
14×	`times-frac_binary64_2130` `associate-/r*_binary64_2068`
13×	`associate-l_binary64_2065`
10×	`cube-prod_binary64_2152`
8×	`cbrt-unprod_binary64_2157`
5×	`cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
2×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069`

Counts

4 → 188

Calls

4 calls:

15.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
15.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series1.0s (5.6%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

357.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
324.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
147.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
121.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3007 computations (25.8% saved)

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune734.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	218	7	225

Error

0.3b

Counts

225 → 7

Compiler

Compiled 10726 to 6782 computations (36.8% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
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)

rewrite945.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

59×	`times-frac_binary64_2130`
46×	`pow1_binary64_2185`
44×	`add-exp-log_binary64_2162`
36×	`unpow-prod-down_binary64_2203`
33×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
26×	`add-cbrt-cube_binary64_2160`
18×	`pow-prod-down_binary64_2195` `sqr-pow_binary64_2096`
14×	`div-exp_binary64_2175`
13×	`prod-exp_binary64_2173`
12×	`pow-exp_binary64_2192`
11×	`associate-/l*_binary64_2069`
10×	`cbrt-unprod_binary64_2157` `associate-*r/_binary64_2066`
9×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152`
8×	`pow-to-exp_binary64_2193` `associate-/r*_binary64_2068`
7×	`associate-/l/_binary64_2071`
5×	`frac-sub_binary64_2133`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `frac-add_binary64_2132`
3×	`pow-unpow_binary64_2201` `cbrt-undiv_binary64_2158`
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` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055` `div-sub_binary64_2129` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 179

Calls

4 calls:

35.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
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 12142 to 7222 computations (40.5% saved)

series1.1s (6.1%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

406.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
376.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
108.0ms	(pow.f64 (*.f64 a c) 3)
103.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4381 to 3234 computations (26.2% saved)

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4949	5567
1	4949	5567

prune1.1s (5.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	216	12	228

Error

0.2b

Counts

228 → 12

Compiler

Compiled 13585 to 8287 computations (39% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite622.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

56×	`times-frac_binary64_2130`
38×	`unpow-prod-down_binary64_2203`
33×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `add-exp-log_binary64_2162`
20×	`sqr-pow_binary64_2096`
16×	`pow-exp_binary64_2192`
13×	`pow1_binary64_2185`
12×	`div-exp_binary64_2175`
10×	`pow-to-exp_binary64_2193`
9×	`pow-unpow_binary64_2201` `add-cbrt-cube_binary64_2160` `unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152`
8×	`associate-/l*_binary64_2069`
7×	`associate-/r*_binary64_2068`
6×	`pow-pow_binary64_2196` `prod-exp_binary64_2173`
4×	`add-log-exp_binary64_2163`
3×	`pow-prod-down_binary64_2195`
2×	`rem-cube-cbrt_binary64_2147`
1×	`cbrt-unprod_binary64_2157` `unpow2_binary64_2189` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 151

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 8317 to 5165 computations (37.9% saved)

series777.0ms (4.3%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

380.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
120.0ms	(pow.f64 (*.f64 a c) 4)
103.0ms	(pow.f64 (*.f64 a c) 3)
91.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3969 to 2867 computations (27.8% saved)

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5251	2662

prune578.0ms (3.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	178	12	190

Error

0.2b

Counts

190 → 12

Compiler

Compiled 9214 to 5713 computations (38% saved)

regimes1.7s (9.3%)

Accuracy

Total 1.2b remaining (87.9%)

Threshold costs 0b (0%)

Compiler

Compiled 23964 to 16297 computations (32% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	241	69
1	241	69

end0.0ms (0%)

sample5.9s (33%)

Algorithm

1×

intervals

Results

479.0ms	3791×	body	256	valid
322.0ms	8790×	pre	128	true
261.0ms	1435×	body	512	valid
170.0ms	2774×	body	128	valid
45.0ms	790×	body	128	nan

Compiler

Compiled 4695 to 3197 computations (31.9% saved)

Details

analyze620.0ms (3.5%)

sample72.0ms (0.4%)

simplify354.0ms (2%)

prune7.0ms (0%)

localize13.0ms (0.1%)

rewrite175.0ms (1%)

series794.0ms (4.4%)

simplify75.0ms (0.4%)

prune200.0ms (1.1%)

localize31.0ms (0.2%)

rewrite740.0ms (4.1%)

series1.0s (5.6%)

simplify129.0ms (0.7%)

prune734.0ms (4.1%)

localize35.0ms (0.2%)

rewrite945.0ms (5.3%)

series1.1s (6.1%)

simplify125.0ms (0.7%)

prune1.1s (5.9%)

localize35.0ms (0.2%)

rewrite622.0ms (3.5%)

series777.0ms (4.3%)

simplify97.0ms (0.5%)

prune578.0ms (3.2%)

regimes1.7s (9.3%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.9s (33%)

Profiling