Details

Time bar (total: 3.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms277×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0185
1335
2585
31015
41455
51785
62045
72645
83525
94415
107075
119065
1210225
1310445
1410445

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
11.0b
(/ (* y (- z t)) (- z a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
7.0ms
(+ x (/ (* y (- z t)) (- z a)))
6.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- z a))

series181.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(+ x (/ (* y (- z t)) (- z a)))
35.0ms
(* y (- z t))
67.0ms
(/ (* y (- z t)) (- z a))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0337381
11443342
25002342

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
1.7b
(/ y (/ (- z a) (- z t)))

rewrite61.0ms

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:
26.0ms
(+ x (/ y (/ (- z a) (- z t))))
8.0ms
(/ (- z a) (- z t))
15.0ms
(/ y (/ (- z a) (- z t)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ x (/ y (/ (- z a) (- z t))))
41.0ms
(/ (- z a) (- z t))
119.0ms
(/ y (/ (- z a) (- z t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07021885
130691832
250021829

prune494.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z a))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))

series612.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- z a))
154.0ms
(cbrt (- z t))
157.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))

simplify178.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (166.0ms)

IterNodesCost
0243428
1523408
21374396
34708373
45001365

prune286.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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) (- z a))))
8.0ms
(/ (- z t) (- z a))
14.0ms
(* y (/ (- z t) (- z a)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ x (* y (/ (- z t) (- z a))))
42.0ms
(/ (- z t) (- z a))
68.0ms
(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0423747
11655704
25001704

prune269.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
11819

end0.0ms

sample714.0ms

Algorithm
intervals
Results
456.0ms8719×body80valid
0.0ms1×body1280valid