Details

Time bar (total: 3.5s)

sample32.0ms

Algorithm
intervals
Results
16.0ms488×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.5b
(/ (* x x) (* y y))
23.2b
(/ (* z z) (* t t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series145.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* x x) (* y y))
29.0ms
(/ (* z z) (* t t))

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0375410
11850329
25002297

prune317.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
20.5b
(/ (* x x) (* y y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
1×+-commutative pow2 frac-2neg flip3-+ times-frac pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
7.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
6.0ms
(/ (* x x) (* y y))

series67.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
27.0ms
(/ (* x x) (* y y))

simplify39.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0267431
11294348
25001324

prune160.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
0.3b
(* (/ x y) (/ x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×times-frac
35×add-cube-cbrt *-un-lft-identity
17×pow1 add-exp-log add-cbrt-cube
16×swap-sqr associate-*r* associate-*l*
5×prod-exp cbrt-unprod add-log-exp unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative frac-times flip3-+ associate-*r/ associate-*l/ sum-log flip-+
Counts
3 → 103
Calls
3 calls:
6.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
10.0ms
(* (/ x y) (/ x y))

series61.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
25.0ms
(* (/ x y) (/ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0463705
12298604
25001558

prune262.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (fabs (/ z t)) (fabs (/ z t)))) (cbrt (* (fabs (/ z t)) (fabs (/ z t)))))
19.8b
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))
19.8b
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))
19.8b
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 61
Calls
4 calls:
5.0ms
(* (cbrt (* (fabs (/ z t)) (fabs (/ z t)))) (cbrt (* (fabs (/ z t)) (fabs (/ z t)))))
2.0ms
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))
2.0ms
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))
2.0ms
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (cbrt (* (fabs (/ z t)) (fabs (/ z t)))) (cbrt (* (fabs (/ z t)) (fabs (/ z t)))))
49.0ms
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))
51.0ms
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))
48.0ms
(cbrt (* (fabs (/ z t)) (fabs (/ z t))))

simplify88.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
090671
1366501
22501452
35001444

prune225.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes709.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01524
11524

end0.0ms

sample930.0ms

Algorithm
intervals
Results
531.0ms15444×body80valid