Details

Time bar (total: 12.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms282×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
1.8b
(* y (/ (- z t) (- z a)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
72×*-un-lft-identity
51×times-frac
31×associate-*r*
28×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×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u
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 → 122
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- z a))))
16.0ms
(/ (- z t) (- z a))
27.0ms
(* y (/ (- z t) (- z a)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ x (* y (/ (- z t) (- z a))))
57.0ms
(/ (- z t) (- z a))
71.0ms
(* y (/ (- z t) (- z a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0435776
11703730
25001730

prune363.0ms

Filtered
131 candidates to 92 candidates (70.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.0b
(/ t (- z a))
0.0b
(/ z (- z a))
1.8b
(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite552.0ms

Algorithm
rewrite-expression-head
Rules
2003×*-un-lft-identity
1985×add-sqr-sqrt
1971×times-frac
1323×prod-diff
1173×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
413×distribute-lft-out--
401×difference-of-squares
266×associate-/r/
135×flip3-- flip--
133×div-inv
21×fma-neg
18×associate-*r*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg associate-*l*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 1496
Calls
4 calls:
77.0ms
(- (/ z (- z a)) (/ t (- z a)))
5.0ms
(/ t (- z a))
6.0ms
(/ z (- z a))
266.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(- (/ z (- z a)) (/ t (- z a)))
32.0ms
(/ t (- z a))
50.0ms
(/ z (- z a))
147.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify420.0ms

Algorithm
egg-herbie
Counts
1508 → 1508
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0201647461
1500138506

prune3.1s

Filtered
1508 candidates to 553 candidates (36.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(/ (- z a) z)
0.8b
(/ 1 (/ (- z a) z))
1.8b
(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
6312×times-frac
4747×add-sqr-sqrt
4728×*-un-lft-identity
3172×add-cube-cbrt
2604×prod-diff
1304×distribute-rgt-in distribute-lft-in
780×difference-of-squares
775×distribute-lft-out--
300×div-inv
293×associate-/r/
127×flip3-- flip--
27×associate-/r*
21×add-exp-log
17×associate-*r*
15×add-cbrt-cube
11×associate-/l*
9×div-exp
7×pow1
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*r/ associate-*l* clear-num
2×sub-neg rec-exp 1-exp associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
4 → 2826
Calls
4 calls:
6.0ms
(/ t (- z a))
9.0ms
(/ (- z a) z)
10.0ms
(/ 1 (/ (- z a) z))
608.0ms
(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ t (- z a))
33.0ms
(/ (- z a) z)
49.0ms
(/ 1 (/ (- z a) z))
440.0ms
(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

simplify954.0ms

Algorithm
egg-herbie
Counts
2838 → 2838
Iterations

Useful iterations: 1 (101.0ms)

IterNodesCost
04773103878
1500192985

prune2.0s

Filtered
2838 candidates to 360 candidates (12.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* y (- (/ z (- z a)) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- z a)))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
42×prod-diff
41×add-sqr-sqrt
39×*-un-lft-identity
30×times-frac
27×add-cube-cbrt
23×distribute-rgt-in distribute-lft-in
9×cbrt-prod
6×pow1 add-exp-log associate-*r/ add-cbrt-cube distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*r* associate-*l* flip--
2×sub-neg div-inv
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
89.0ms
(* y (- (/ z (- z a)) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- z a)))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt t)
194.0ms
(cbrt t)
200.0ms
(cbrt t)
169.0ms
(* y (- (/ z (- z a)) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- z a)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
03781919
115071616
250011356

prune397.0ms

Filtered
121 candidates to 79 candidates (65.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes155.0ms

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: 0 (1.0ms)

IterNodesCost
0178
1178

end0.0ms

sample578.0ms

Algorithm
intervals
Results
294.0ms8710×body80valid
0.0ms1×body320valid
0.0ms1×body160valid