Details

Time bar (total: 4.2s)

sample15.0ms

Algorithm
intervals
Results
7.0ms262×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1676
21456
32416
43016
53556
63966
74446
85296
97446
1022186
1150016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.1b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 74
Calls
2 calls:
17.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
73.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0390509
12114426
25002422

prune144.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
2.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 198
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
11.0ms
(/ (- t1) (+ t1 u))
44.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
43.0ms
(/ (- t1) (+ t1 u))
118.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06021313
127281228
250021224

prune405.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))
9.3b
(cbrt (/ (- t1) (+ t1 u)))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
138×cbrt-prod
132×times-frac
81×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
33×distribute-lft-out
27×cbrt-div
25×add-exp-log
18×associate-*r*
17×frac-times associate-*l/ add-cbrt-cube
13×pow1
12×neg-mul-1 prod-exp cbrt-unprod
8×associate-/r/
7×associate-*r/
6×pow-prod-down
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 230
Calls
4 calls:
295.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))
5.0ms
(cbrt (/ (- t1) (+ t1 u)))
6.0ms
(cbrt (/ (- t1) (+ t1 u)))

series779.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
195.0ms
(cbrt (/ (- t1) (+ t1 u)))
193.0ms
(cbrt (/ (- t1) (+ t1 u)))
193.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify73.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06072754
122732315
250012171

prune633.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.5b
(/ (* (/ (- t1) (+ t1 u)) (/ v 1)) (+ t1 u))
2.4b
(* (/ (- t1) (+ t1 u)) (/ v 1))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
100×times-frac
78×add-sqr-sqrt
61×add-cube-cbrt
47×add-exp-log
46×associate-*l*
35×add-cbrt-cube
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
22×div-exp
14×cbrt-undiv
13×associate-*r*
12×prod-exp
11×associate-/l*
9×neg-mul-1
8×associate-/r* cbrt-unprod
6×associate-/r/ unswap-sqr
5×pow1
4×1-exp distribute-frac-neg div-inv
3×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u associate-/l/ add-log-exp
2×distribute-lft-neg-out frac-times frac-2neg associate-*r/ associate-*l/ clear-num
1×neg-sub0 div-sub pow-prod-down *-commutative
Counts
3 → 201
Calls
3 calls:
11.0ms
(/ (- t1) (+ t1 u))
14.0ms
(/ (* (/ (- t1) (+ t1 u)) (/ v 1)) (+ t1 u))
34.0ms
(* (/ (- t1) (+ t1 u)) (/ v 1))

series234.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- t1) (+ t1 u))
119.0ms
(/ (* (/ (- t1) (+ t1 u)) (/ v 1)) (+ t1 u))
76.0ms
(* (/ (- t1) (+ t1 u)) (/ v 1))

simplify80.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07351348
134781190
250011171

prune409.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
0167
1207
2276
3286
4306
5306

end0.0ms

sample378.0ms

Algorithm
intervals
Results
213.0ms8260×body80valid