Details

Time bar (total: 41.6s)

analyze5.3s (12.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.2%0.8%0
0%99.2%0.8%1
0%99.2%0.8%2
0%99.2%0.8%3
0%99.2%0.8%4
0%99.2%0.8%5
0%99.2%0.8%6
0%99.2%0.8%7
0%99.2%0.8%8
0%99.2%0.8%9
0%99.2%0.8%10
0%99.2%0.8%11
0%99.2%0.8%12
0%99.2%0.8%13
0%99.2%0.8%14
Compiler

Compiled 96 to 64 computations (33.3% saved)

sample779.0ms (1.9%)

Algorithm
1×intervals
Results
491.0ms2156×body80invalid
55.0ms256×body80valid
Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify92.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05138142

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 25.3b

Counts
2 → 1
Compiler

Compiled 190 to 126 computations (33.7% saved)

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.8b
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))
9.2b
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
9.9b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
10.5b
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))

rewrite56.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
24×flip3--_binary64 flip--_binary64
20×add-sqr-sqrt_binary64
16×frac-times_binary64
12×*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
8×sub-neg_binary64 associate-*r/_binary64 associate-*l/_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 *-commutative_binary64
Counts
4 → 116
Calls

4 calls:

13.0ms
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))
13.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
13.0ms
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))
12.0ms
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))

series1.6s (3.8%)

Counts
4 → 12
Calls

4 calls:

401.0ms
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
400.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
392.0ms
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))
391.0ms
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))

simplify125.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
050114248

prune407.0ms (1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New11018128
Fresh000
Picked101
Done000
Total11118129

Merged error: 18.3b

Counts
129 → 18
Compiler

Compiled 15731 to 2215 computations (85.9% saved)

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.0b
(*.f64 (-.f64 (*.f64 t y2) (*.f64 y y3)) (-.f64 (*.f64 y4 c) (*.f64 y5 a)))
9.2b
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
9.9b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
10.5b
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))

rewrite64.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
24×flip3--_binary64 flip--_binary64
20×add-sqr-sqrt_binary64
16×frac-times_binary64
12×*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
8×sub-neg_binary64 associate-*r/_binary64 associate-*l/_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 *-commutative_binary64
Counts
4 → 116
Calls

4 calls:

20.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
13.0ms
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
13.0ms
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))
13.0ms
(*.f64 (-.f64 (*.f64 t y2) (*.f64 y y3)) (-.f64 (*.f64 y4 c) (*.f64 y5 a)))

series1.5s (3.7%)

Counts
4 → 12
Calls

4 calls:

390.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
384.0ms
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))
384.0ms
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
382.0ms
(*.f64 (-.f64 (*.f64 t y2) (*.f64 y y3)) (-.f64 (*.f64 y4 c) (*.f64 y5 a)))

simplify122.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
050144248

prune389.0ms (0.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New1226128
Fresh01717
Picked101
Done000
Total12323146

Merged error: 16.8b

Counts
146 → 23
Compiler

Compiled 18757 to 2490 computations (86.7% saved)

localize77.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.8b
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))
9.2b
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
9.9b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
10.5b
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))

rewrite63.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
24×flip3--_binary64 flip--_binary64
20×add-sqr-sqrt_binary64
16×frac-times_binary64
12×*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
8×sub-neg_binary64 associate-*r/_binary64 associate-*l/_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 *-commutative_binary64
Counts
4 → 116
Calls

4 calls:

19.0ms
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))
14.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
13.0ms
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
13.0ms
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))

series1.5s (3.7%)

Counts
4 → 12
Calls

4 calls:

383.0ms
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
383.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
382.0ms
(*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))
381.0ms
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))

simplify122.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
050114248

prune396.0ms (1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh12122
Picked101
Done000
Total12922151

Merged error: 16.8b

Counts
151 → 22
Compiler

Compiled 20710 to 2544 computations (87.7% saved)

localize79.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.0b
(*.f64 (-.f64 (*.f64 t y2) (*.f64 y y3)) (-.f64 (*.f64 y4 c) (*.f64 y5 a)))
8.8b
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))
9.2b
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
9.9b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))

rewrite58.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
24×flip3--_binary64 flip--_binary64
20×add-sqr-sqrt_binary64
16×frac-times_binary64
12×*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
8×sub-neg_binary64 associate-*r/_binary64 associate-*l/_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 *-commutative_binary64
Counts
4 → 116
Calls

4 calls:

14.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))
14.0ms
(*.f64 (-.f64 (*.f64 t y2) (*.f64 y y3)) (-.f64 (*.f64 y4 c) (*.f64 y5 a)))
13.0ms
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))
13.0ms
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))

series1.5s (3.7%)

Counts
4 → 12
Calls

4 calls:

389.0ms
(*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))
387.0ms
(*.f64 (-.f64 (*.f64 t y2) (*.f64 y y3)) (-.f64 (*.f64 y4 c) (*.f64 y5 a)))
384.0ms
(*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))
384.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i)))

simplify124.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
050094254

prune309.0ms (0.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New1253128
Fresh12021
Picked101
Done000
Total12723150

Merged error: 16.8b

Counts
150 → 23
Compiler

Compiled 16272 to 1011 computations (93.8% saved)

regimes1.9s (4.7%)

Compiler

Compiled 39712 to 24400 computations (38.6% saved)

bsearch721.0ms (1.7%)

Steps
ItersRangePoint
8
4.711812619030218e-284
1.931910712772534e-280
1.9300159515586965e-281
7
-4.789742794581241e-113
-1.0199523670883047e-114
-1.6807601623052374e-113
Compiler

Compiled 1 to 16 computations (-1500% saved)

simplify55.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
01067477
11067477

end0.0ms (0%)

sample24.0s (57.6%)

Algorithm
1×intervals
Results
14.5s64644×body80invalid
1.8s8000×body80valid
Compiler

Compiled 3601 to 1845 computations (48.8% saved)

Profiling

Loading profile data...