Details

Time bar (total: 13.0s)

sample306.0ms

Algorithm
intervals
Results
254.0ms3362×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
09061
138958
2211536
3500136

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b
(sqrt PI)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
120×times-frac
89×add-cube-cbrt *-un-lft-identity
40×add-exp-log add-cbrt-cube
39×swap-sqr associate-*r* associate-*l*
26×pow1
12×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×add-log-exp
3×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ sqrt-prod pow-sqr *-commutative pow-prod-up
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 214
Calls
4 calls:
13.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
16.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
14.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms
(sqrt PI)

series77.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
28.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
25.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms
(sqrt PI)

simplify70.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04261780
120771524
250021377

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* (* (pow (/ (* 1.0 1.0) (pow (fabs x) 2)) 1) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b
(sqrt PI)

rewrite534.0ms

Algorithm
rewrite-expression-head
Rules
1197×add-exp-log
666×prod-exp
409×div-exp
205×add-cbrt-cube
144×pow-exp
106×cbrt-unprod
93×add-sqr-sqrt
89×times-frac
68×add-cube-cbrt *-un-lft-identity
57×cbrt-undiv
48×pow-to-exp
39×associate-*r*
32×pow1
27×associate-*l*
26×swap-sqr
19×frac-times associate-*l/
17×associate-*r/
12×pow-prod-down
9×div-inv
8×unswap-sqr
4×add-log-exp
3×sqrt-prod *-commutative
2×pow2 pow-plus pow-sqr pow-prod-up
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 376
Calls
4 calls:
456.0ms
(* (* (* (* (pow (/ (* 1.0 1.0) (pow (fabs x) 2)) 1) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
13.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
17.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms
(sqrt PI)

series105.0ms

Counts
4 → 10
Calls
4 calls:
57.0ms
(* (* (* (* (pow (/ (* 1.0 1.0) (pow (fabs x) 2)) 1) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms
(sqrt PI)

simplify74.0ms

Algorithm
egg-herbie
Counts
386 → 386
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
017495667
150024246

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1.0 (pow (fabs x) 6)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b
(sqrt PI)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
120×times-frac
82×add-cube-cbrt *-un-lft-identity
52×add-exp-log
51×associate-*l*
40×add-cbrt-cube
39×associate-*r*
26×swap-sqr
21×pow1
18×div-exp
16×prod-exp unswap-sqr
12×cbrt-undiv cbrt-unprod
11×unpow-prod-down
10×div-inv
5×sqr-pow
4×add-log-exp
3×frac-times associate-*r/ pow-prod-down associate-*l/ sqrt-prod *-commutative
2×pow2 pow-to-exp pow-plus pow-exp pow-sqr pow-prod-up
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 217
Calls
4 calls:
20.0ms
(* (/ 1.0 (pow (fabs x) 6)) (/ 1.0 (fabs x)))
14.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
13.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms
(sqrt PI)

series118.0ms

Counts
4 → 10
Calls
4 calls:
70.0ms
(* (/ 1.0 (pow (fabs x) 6)) (/ 1.0 (fabs x)))
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms
(sqrt PI)

simplify99.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06841784
136521546
250011414

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b
(sqrt PI)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
90×times-frac
69×add-exp-log add-cbrt-cube
68×add-cube-cbrt *-un-lft-identity
39×associate-*r*
38×pow1
27×associate-*l*
26×swap-sqr prod-exp cbrt-unprod
21×cbrt-undiv div-exp
10×unswap-sqr
9×div-inv
8×pow-plus pow-prod-up
7×frac-times associate-*l/
5×associate-*r/ pow-prod-down
4×pow2 pow-sqr add-log-exp
3×sqrt-prod *-commutative
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3
Counts
4 → 209
Calls
4 calls:
27.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
14.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
13.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms
(sqrt PI)

series90.0ms

Counts
4 → 10
Calls
4 calls:
42.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms
(sqrt PI)

simplify86.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05921797
130841350
250011242

prune936.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

regimes208.0ms

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04946
15146
25146

end0.0ms

sample6.5s

Algorithm
intervals
Results
5.7s76262×body80valid