Details

Time bar (total: 4.6s)

sample28.0ms

Algorithm
intervals
Results
17.0ms270×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 96
Calls
2 calls:
12.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series86.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* z (- y t))
45.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0433735
11861559
25001556

prune177.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
4.5b
(* x (/ (/ 2.0 (- y t)) z))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
180×add-sqr-sqrt
171×*-un-lft-identity
121×add-cube-cbrt
67×associate-*r*
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
16×associate-/r/
10×div-inv
8×flip3-- associate-/r* flip--
7×cbrt-undiv div-exp
5×pow1
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 234
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
15.0ms
(/ (/ 2.0 (- y t)) z)
33.0ms
(* x (/ (/ 2.0 (- y t)) z))

series182.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 2.0 (- y t))
68.0ms
(/ (/ 2.0 (- y t)) z)
74.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify81.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07541662
134371581
250011581

prune537.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
4.1b
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 (cbrt (- y t))) z))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
179×times-frac
135×add-sqr-sqrt
109×*-un-lft-identity
94×associate-*r*
85×add-cube-cbrt
62×cbrt-prod
40×add-exp-log
31×add-cbrt-cube
24×cbrt-div
15×cbrt-undiv div-exp associate-*l*
14×associate-/r/
12×flip3-- prod-exp flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
8×unswap-sqr
6×pow1
5×frac-times div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 200
Calls
4 calls:
2.0ms
(cbrt (- y t))
2.0ms
(cbrt (- y t))
2.0ms
(cbrt (- y t))
89.0ms
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 (cbrt (- y t))) z))

series513.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- y t))
150.0ms
(cbrt (- y t))
145.0ms
(cbrt (- y t))
74.0ms
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 (cbrt (- y t))) z))

simplify53.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012402550
150012338

prune651.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b
(/ (/ x z) (/ (- y t) 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 301
Calls
1 calls:
15.0ms
(/ (/ x z) (/ (- y t) 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
015663649
150013558

prune859.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes139.0ms

Accuracy

7% (5.5b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 5.9b

bsearch126.0ms

Steps
ItersRangePoint
8
1.343482505195148e+213
7.405859347281246e+216
1.7827284404274002e+216
10
3.4397192765094533e-134
4.606376382257075e-124
2.5639366194123703e-127
7
-3.9980848153894316e-184
-1.8417206529923158e-185
-2.296857784253987e-184

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03624
13624

end0.0ms

sample732.0ms

Algorithm
intervals
Results
493.0ms8724×body80valid