Details

Time bar (total: 4.1s)

sample36.0ms

Algorithm
intervals
Results
12.0ms280×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:
20.0ms
(/ (- z t) (- a t))
42.0ms
(* y (/ (- z t) (- a t)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- z t) (- a t))
59.0ms
(* y (/ (- z t) (- a t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune210.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.0b
(* y (- z t))
12.9b
(* (* y (- z t)) (/ 1 (- a t)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*r*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*l* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 117
Calls
3 calls:
13.0ms
(/ 1 (- a t))
19.0ms
(* y (- z t))
48.0ms
(* (* y (- z t)) (/ 1 (- a t)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ 1 (- a t))
34.0ms
(* y (- z t))
56.0ms
(* (* y (- z t)) (/ 1 (- a t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0423635
12347538
25001495

prune216.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- a t)))
0.6b
(cbrt (/ 1 (- a t)))
4.2b
(* (* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t))))
8.9b
(* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))))

rewrite391.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
50×add-sqr-sqrt cbrt-div *-un-lft-identity
45×times-frac
43×associate-*r/
38×frac-times
34×pow1 add-exp-log
32×add-cube-cbrt
26×associate-*l/
25×associate-*r*
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
15×flip3-- flip--
9×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×add-log-exp
3×div-inv
2×pow1/3 associate-*l* *-commutative
Counts
4 → 164
Calls
4 calls:
6.0ms
(cbrt (/ 1 (- a t)))
6.0ms
(cbrt (/ 1 (- a t)))
291.0ms
(* (* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t))))
80.0ms
(* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (/ 1 (- a t)))
128.0ms
(cbrt (/ 1 (- a t)))
59.0ms
(* (* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t))))
151.0ms
(* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06702165
129111864
250031769

prune441.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.2b
(- (* a a) (* t t))
5.0b
(* y (/ (- z t) (- (* a a) (* t t))))
11.7b
(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
21.7b
(/ (- z t) (- (* a a) (* t t)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
47×*-un-lft-identity
41×times-frac
30×associate-*r*
27×add-cube-cbrt
21×difference-of-squares
20×add-exp-log add-cbrt-cube
11×pow1
9×distribute-lft-out--
7×prod-exp cbrt-unprod
6×associate-*r/ add-log-exp
5×associate-/l*
4×flip3-- associate-*l* pow-prod-down associate-/r* associate-/r/ flip--
3×cbrt-undiv div-exp
2×frac-times flip3-+ *-commutative flip-+ div-inv associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub associate-*l/ clear-num distribute-lft-out
Counts
4 → 132
Calls
4 calls:
8.0ms
(- (* a a) (* t t))
47.0ms
(* y (/ (- z t) (- (* a a) (* t t))))
72.0ms
(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
23.0ms
(/ (- z t) (- (* a a) (* t t)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* a a) (* t t))
85.0ms
(* y (/ (- z t) (- (* a a) (* t t))))
108.0ms
(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
51.0ms
(/ (- z t) (- (* a a) (* t t)))

simplify77.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05701201
130711061
250021059

prune306.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

18.4% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02515
12515

end0.0ms

sample641.0ms

Algorithm
intervals
Results
262.0ms8760×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid