Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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:
21.0ms
(/ (- z t) (- z a))
43.0ms
(* y (/ (- z t) (- z a)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- z t) (- z a))
57.0ms
(* y (/ (- z t) (- z a)))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune214.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b
(* y (/ (- z t) (- z a)))
8.1b
(cbrt (* y (/ (- z t) (- z a))))
8.1b
(cbrt (* y (/ (- z t) (- z a))))
8.1b
(cbrt (* y (/ (- z t) (- z a))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*r*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 80
Calls
4 calls:
42.0ms
(* y (/ (- z t) (- z a)))
12.0ms
(cbrt (* y (/ (- z t) (- z a))))
12.0ms
(cbrt (* y (/ (- z t) (- z a))))
12.0ms
(cbrt (* y (/ (- z t) (- z a))))

series408.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* y (/ (- z t) (- z a)))
116.0ms
(cbrt (* y (/ (- z t) (- z a))))
116.0ms
(cbrt (* y (/ (- z t) (- z a))))
120.0ms
(cbrt (* y (/ (- z t) (- z a))))

simplify35.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0292542
11195482
25001476

prune273.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
12.3b
(/ (* y (- z t)) (- z a))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 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/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
22.0ms
(* y (- z t))
22.0ms
(/ (* y (- z t)) (- z a))

series90.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
56.0ms
(/ (* y (- z t)) (- z a))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0267276
11217239
25001239

prune116.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
1.9b
(/ y (/ (- z a) (- z t)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
21.0ms
(/ (- z a) (- z t))
26.0ms
(/ y (/ (- z a) (- z t)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- z a) (- z t))
104.0ms
(/ y (/ (- z a) (- z t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06301780
128431729
250031726

prune431.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (1.3b 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
0115
1115

end0.0ms

sample590.0ms

Algorithm
intervals
Results
237.0ms8728×body80valid
0.0ms1×body160valid