Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify47.0ms

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: 1.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
1.3b
(* y (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- a t))))
7.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (* y (/ (- z t) (- a t))))
49.0ms
(/ (- z t) (- a t))
66.0ms
(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0421747
11657704
25001704

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
1.3b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
336×add-sqr-sqrt
324×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
2.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
8.0ms
(/ (- a t) (- z t))
15.0ms
(/ 1 (/ (- a t) (- z t)))
29.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
51.0ms
(/ (- a t) (- z t))
134.0ms
(/ 1 (/ (- a t) (- z t)))
153.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify109.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09502838
147592549
250012263

prune854.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (pow (/ y (/ (- a t) (- z t))) 1))
0.0b
(/ (- a t) (- z t))
1.0b
(/ y (/ (- a t) (- z t)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
197×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
39.0ms
(+ x (pow (/ y (/ (- a t) (- z t))) 1))
8.0ms
(/ (- a t) (- z t))
12.0ms
(/ y (/ (- a t) (- z t)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(+ x (pow (/ y (/ (- a t) (- z t))) 1))
46.0ms
(/ (- a t) (- z t))
145.0ms
(/ y (/ (- a t) (- z t)))

simplify76.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07021899
131321841
250011839

prune566.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (pow (* (/ y (- a t)) (- z t)) 1))
0.0b
(/ y (- a t))
13.4b
(* (/ y (- a t)) (- z t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
41×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+ distribute-lft-out
Counts
3 → 99
Calls
3 calls:
4.0ms
(+ x (pow (* (/ y (- a t)) (- z t)) 1))
5.0ms
(/ y (- a t))
12.0ms
(* (/ y (- a t)) (- z t))

series289.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(+ x (pow (* (/ y (- a t)) (- z t)) 1))
30.0ms
(/ y (- a t))
146.0ms
(* (/ y (- a t)) (- z t))

simplify45.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0409616
11697571
25001571

prune274.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155
1155

end0.0ms

sample541.0ms

Algorithm
intervals
Results
279.0ms8711×body80valid