Details

Time bar (total: 4.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize7.0ms

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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
7.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series132.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (* z (- y t)) 2.0)
34.0ms
(* z (- y t))
48.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0413592
11829518
25002515

prune223.0ms

Pruning

7 alts after pruning (7 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)))

rewrite51.0ms

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×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
31.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
52.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify105.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09151676
142801508
250011501

prune504.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.5b
(* (/ 1 z) (/ (* (cbrt x) (cbrt x)) (/ (/ (- y t) 2.0) (cbrt x))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
376×times-frac
204×add-sqr-sqrt
150×*-un-lft-identity
127×add-exp-log
123×associate-*r*
108×add-cube-cbrt
72×cbrt-prod
62×div-exp
49×add-cbrt-cube
40×prod-exp
31×cbrt-undiv
20×cbrt-unprod
18×distribute-lft-out-- difference-of-squares unswap-sqr
13×associate-*l*
9×div-inv
7×rec-exp 1-exp
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 241
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
60.0ms
(* (/ 1 z) (/ (* (cbrt x) (cbrt x)) (/ (/ (- y t) 2.0) (cbrt x))))

series791.0ms

Counts
4 → 12
Calls
4 calls:
356.0ms
(cbrt x)
174.0ms
(cbrt x)
179.0ms
(cbrt x)
82.0ms
(* (/ 1 z) (/ (* (cbrt x) (cbrt x)) (/ (/ (- y t) 2.0) (cbrt x))))

simplify63.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016022753
150012371

prune728.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.5b
(/ (/ x z) (/ (- y t) 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
18.0ms
(/ (/ x z) (/ (- y t) 2.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015643639
150013547

prune765.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

92.5% (0.4b remaining)

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

bsearch1.0ms

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03234
13534
24121
34421
45021
56121
66821
76921
86921

end0.0ms

sample501.0ms

Algorithm
intervals
Results
276.0ms8702×body80valid