Details

Time bar (total: 4.8s)

sample23.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify68.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

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:
24.0ms
(/ (- z t) (- a t))
48.0ms
(* y (/ (- z t) (- a t)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- z t) (- a t))
67.0ms
(* y (/ (- z t) (- a t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0356664
11414623
25001623

prune273.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
52×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log
30×times-frac
26×associate-*r*
19×add-cbrt-cube
18×prod-diff
13×prod-exp
11×pow1 distribute-rgt-in distribute-lft-in
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 expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp
2×frac-times sub-neg associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 141
Calls
3 calls:
12.0ms
(/ 1 (- a t))
26.0ms
(* y (- z t))
51.0ms
(* (* y (- z t)) (/ 1 (- a t)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a t))
35.0ms
(* y (- z t))
68.0ms
(* (* y (- z t)) (/ 1 (- a t)))

simplify81.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0506910
12679687
25002644

prune283.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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)))))

rewrite426.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 associate-*l* *-commutative
Counts
4 → 172
Calls
4 calls:
6.0ms
(cbrt (/ 1 (- a t)))
6.0ms
(cbrt (/ 1 (- a t)))
319.0ms
(* (* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t))))
86.0ms
(* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))))

series551.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (/ 1 (- a t)))
154.0ms
(cbrt (/ 1 (- a t)))
68.0ms
(* (* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t))))
178.0ms
(* (* y (- z t)) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))))

simplify105.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06852222
129621916
250021815

prune557.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite168.0ms

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×expm1-log1p-u flip3-- associate-*l* pow-prod-down associate-/r* associate-/r/ flip-- log1p-expm1-u
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 fma-neg diff-log div-sub prod-diff associate-*l/ clear-num distribute-lft-out
Counts
4 → 142
Calls
4 calls:
9.0ms
(- (* a a) (* t t))
50.0ms
(* y (/ (- z t) (- (* a a) (* t t))))
74.0ms
(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
29.0ms
(/ (- z t) (- (* a a) (* t t)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* a a) (* t t))
100.0ms
(* y (/ (- z t) (- (* a a) (* t t))))
135.0ms
(* (* y (/ (- z t) (- (* a a) (* t t)))) (+ a t))
60.0ms
(/ (- z t) (- (* a a) (* t t)))

simplify98.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
05891257
131551116
250011111

prune434.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes229.0ms

Accuracy

18.4% (1.1b remaining)

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

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02515
12515

end0.0ms

sample611.0ms

Algorithm
intervals
Results
261.0ms8760×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid