Details

Time bar (total: 6.5s)

sample34.0ms

Algorithm
intervals
Results
21.0ms275×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0205
1364
2594
31034
41734
52364
62654
73114
83754
95114
106744
1111794
1213004
1313084
1413084

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.0b
(* y (/ (- z t) (- a t)))

rewrite41.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- z t) (- a t))
24.0ms
(* y (/ (- z t) (- a t)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- a t))
73.0ms
(* y (/ (- z t) (- a t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0356664
11414623
25001623

prune308.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
2.0b
(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
1329×*-un-lft-identity
1321×add-sqr-sqrt
1308×times-frac
882×prod-diff
783×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
272×distribute-lft-out--
266×difference-of-squares
176×associate-/r/
89×flip3-- flip--
88×div-inv
18×associate-*r*
10×associate-/r*
9×add-exp-log add-cbrt-cube
6×associate-/l*
5×pow1
4×associate-*r/
3×expm1-log1p-u distribute-rgt-out-- associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 1003
Calls
3 calls:
10.0ms
(/ z (- a t))
5.0ms
(/ t (- a t))
235.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series176.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ z (- a t))
51.0ms
(/ t (- a t))
95.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify295.0ms

Algorithm
egg-herbie
Counts
1012 → 1012
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0198232252
1500226201

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
2.2b
(* y (- (/ t (- a t))))
5.4b
(* y (/ z (- a t)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
88×*-un-lft-identity
76×times-frac
67×associate-*r*
54×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
17×distribute-lft-out-- difference-of-squares
15×add-exp-log add-cbrt-cube
10×associate-/r* associate-/r/
8×pow1
6×associate-*l* associate-/l*
5×flip3-- flip-- div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 185
Calls
4 calls:
5.0ms
(/ z (- a t))
6.0ms
(/ t (- a t))
35.0ms
(* y (- (/ t (- a t))))
21.0ms
(* y (/ z (- a t)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ z (- a t))
53.0ms
(/ t (- a t))
40.0ms
(* y (- (/ t (- a t))))
53.0ms
(* y (/ z (- a t)))

simplify73.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0526932
12340871
25001871

prune636.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
2.2b
(* y (- (/ t (- a t))))
2.6b
(* (cbrt y) (/ z (- a t)))
3.0b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z (- a t))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r*
66×add-sqr-sqrt
54×*-un-lft-identity
47×times-frac
36×add-cube-cbrt
32×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×pow1 add-cbrt-cube
16×prod-exp cbrt-unprod
10×associate-*l* pow-prod-down
9×distribute-lft-out-- difference-of-squares
8×cbrt-prod
6×associate-/r/
5×unswap-sqr
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv
1×neg-mul-1 pow1/3 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 154
Calls
4 calls:
1.0ms
(cbrt y)
38.0ms
(* y (- (/ t (- a t))))
18.0ms
(* (cbrt y) (/ z (- a t)))
28.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z (- a t))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt y)
46.0ms
(* y (- (/ t (- a t))))
175.0ms
(* (cbrt y) (/ z (- a t)))
80.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z (- a t))))

simplify95.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0596985
12888829
25002786

prune559.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1259
2269
3269

end0.0ms

sample936.0ms

Algorithm
intervals
Results
670.0ms8725×body80valid
1.0ms2×body1280valid