Details

Time bar (total: 2.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1335
2585
31015
41455
51785
62045
72645
83525
94415
107075
119065
1210225
1310445
1410445

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.9b
(/ (* y (- z t)) (- z a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- z a))

series98.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
64.0ms
(/ (* y (- z t)) (- z a))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0267276
11217239
25001239

prune137.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.8b
(/ y (/ (- z a) (- z t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- z a) (- z t))
12.0ms
(/ y (/ (- z a) (- z t)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z a) (- z t))
108.0ms
(/ y (/ (- z a) (- z t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06301780
128431729
250031726

prune487.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z t))
0.2b
(* (- z a) (/ 1 (- z t)))
0.8b
(/ y (* (- z a) (/ 1 (- z t))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv flip3-- associate-/r* flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 122
Calls
3 calls:
6.0ms
(/ 1 (- z t))
13.0ms
(* (- z a) (/ 1 (- z t)))
12.0ms
(/ y (* (- z a) (/ 1 (- z t))))

series199.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- z t))
42.0ms
(* (- z a) (/ 1 (- z t)))
117.0ms
(/ y (* (- z a) (/ 1 (- z t))))

simplify51.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0405704
11894591
25001543

prune266.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(* y (/ (- z t) (- z a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- z t) (- z a))
65.0ms
(* y (/ (- z t) (- z a)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune241.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample536.0ms

Algorithm
intervals
Results
270.0ms8704×body80valid
0.0ms2×body640valid
0.0ms1×body160valid