Details

Time bar (total: 38.4s)

sample20.0ms

Algorithm
intervals
Results
10.0ms276×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
7.3b
(/ x (/ (* z (- y t)) 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
8.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (* z (- y t)) 2.0)
34.0ms
(* z (- y t))
46.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0498867
12215667
25001667

prune237.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.5b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
28.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (/ (- y t) 2.0))
46.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify109.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09191696
142841528
250011521

prune498.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ z (sqrt 2.0)))
0.4b
(/ z (sqrt 2.0))
0.4b
(/ (- y t) (sqrt 2.0))
4.5b
(* (/ 1 (/ z (sqrt 2.0))) (/ x (/ (- y t) (sqrt 2.0))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
573×times-frac
430×add-sqr-sqrt
323×*-un-lft-identity
261×add-cube-cbrt
153×sqrt-prod
107×associate-*r*
97×add-exp-log
71×associate-*l*
51×div-exp
49×add-cbrt-cube
34×associate-/r*
28×unswap-sqr
25×distribute-lft-out-- difference-of-squares
23×cbrt-undiv
21×prod-exp
15×div-inv
11×associate-/l*
9×cbrt-unprod
8×rec-exp 1-exp
7×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/r/
2×associate-/l/
1×frac-times flip3-- pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 463
Calls
4 calls:
8.0ms
(/ 1 (/ z (sqrt 2.0)))
4.0ms
(/ z (sqrt 2.0))
7.0ms
(/ (- y t) (sqrt 2.0))
118.0ms
(* (/ 1 (/ z (sqrt 2.0))) (/ x (/ (- y t) (sqrt 2.0))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ 1 (/ z (sqrt 2.0)))
53.0ms
(/ z (sqrt 2.0))
91.0ms
(/ (- y t) (sqrt 2.0))
178.0ms
(* (/ 1 (/ z (sqrt 2.0))) (/ x (/ (- y t) (sqrt 2.0))))

simplify74.0ms

Algorithm
egg-herbie
Counts
475 → 475
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016304507
150014114

prune997.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0)))) (/ (/ x (/ (- y t) (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
0.4b
(/ (- y t) (sqrt 2.0))
1.0b
(/ 1 (sqrt (sqrt 2.0)))
4.5b
(/ (/ x (/ (- y t) (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))

rewrite8.5s

Algorithm
rewrite-expression-head
Rules
26659×times-frac
14203×add-sqr-sqrt
12280×*-un-lft-identity
9845×sqrt-prod
9726×add-cube-cbrt
3322×associate-*r*
1141×distribute-lft-out-- difference-of-squares
478×div-inv
374×unswap-sqr
211×add-exp-log
191×associate-*l*
137×add-cbrt-cube
135×div-exp
115×associate-/l*
83×cbrt-undiv
66×associate-/r/
46×associate-/r*
35×prod-exp
21×cbrt-unprod
9×pow1
8×rec-exp 1-exp
5×pow-flip
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/l/
2×pow1/2
1×frac-times flip3-- div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 7557
Calls
4 calls:
7.2s
(* (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0)))) (/ (/ x (/ (- y t) (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
7.0ms
(/ (- y t) (sqrt 2.0))
6.0ms
(/ 1 (sqrt (sqrt 2.0)))
101.0ms
(/ (/ x (/ (- y t) (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))

series659.0ms

Counts
4 → 10
Calls
4 calls:
241.0ms
(* (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0)))) (/ (/ x (/ (- y t) (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
91.0ms
(/ (- y t) (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))
327.0ms
(/ (/ x (/ (- y t) (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))

simplify1.5s

Algorithm
egg-herbie
Counts
7567 → 7567
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05684168732

prune24.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes277.0ms

Accuracy

92.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.6b

bsearch1.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03234
13534
24121
34421
45021
56121
66821
76921
86921

end0.0ms

sample481.0ms

Algorithm
intervals
Results
265.0ms8702×body80valid