Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify23.0ms

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))

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
46.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0433735
11861559
25001556

prune188.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
4.9b
(* x (/ (/ 2.0 (- y t)) z))

rewrite64.0ms

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))
12.0ms
(/ (/ 2.0 (- y t)) z)
34.0ms
(* x (/ (/ 2.0 (- y t)) z))

series188.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 2.0 (- y t))
71.0ms
(/ (/ 2.0 (- y t)) z)
75.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify86.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07511662
134341581
250011581

prune562.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
5.2b
(/ (* x (/ 2.0 (- y t))) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×flip3-- frac-2neg associate-*r/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
15.0ms
(* x (/ 2.0 (- y t)))
7.0ms
(/ (* x (/ 2.0 (- y t))) z)

series149.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 2.0 (- y t))
34.0ms
(* x (/ 2.0 (- y t)))
74.0ms
(/ (* x (/ 2.0 (- y t))) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352565
11631498
25002498

prune247.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ z (/ 2.0 (- y t)))
4.9b
(/ x (/ z (/ 2.0 (- y t))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
774×times-frac
440×add-sqr-sqrt *-un-lft-identity
336×add-cube-cbrt
94×associate-/r*
52×distribute-lft-out-- difference-of-squares
40×associate-/r/
23×div-inv
19×add-exp-log add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv div-exp
9×associate-/l*
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
3 → 437
Calls
3 calls:
9.0ms
(/ 2.0 (- y t))
9.0ms
(/ z (/ 2.0 (- y t)))
21.0ms
(/ x (/ z (/ 2.0 (- y t))))

series145.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 2.0 (- y t))
49.0ms
(/ z (/ 2.0 (- y t)))
50.0ms
(/ x (/ z (/ 2.0 (- y t))))

simplify75.0ms

Algorithm
egg-herbie
Counts
446 → 446
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014644466
150014320

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

52.7% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.8b

bsearch86.0ms

Steps
ItersRangePoint
8
2.3663431221224395e-143
1.8340667714556943e-139
1.7916279905271666e-139
11
-3.728791494953398e+34
-16552480084.448496
-1.6539304554457753e+33

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample462.0ms

Algorithm
intervals
Results
252.0ms8725×body80valid