Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
14.0ms282×body80valid

simplify56.0ms

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: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
13.0ms
(/ (- z t) (- z a))
23.0ms
(* y (/ (- z t) (- z a)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- z t) (- z a))
61.0ms
(* y (/ (- z t) (- z a)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune232.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 144
Calls
4 calls:
5.0ms
(/ z (- z a))
5.0ms
(/ t (- z a))
49.0ms
(- (/ z (- z a)) (/ t (- z a)))
145.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ z (- z a))
27.0ms
(/ t (- z a))
104.0ms
(- (/ z (- z a)) (/ t (- z a)))
130.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify46.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0429888
11588838
25002838

prune362.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (cbrt (pow (/ z (- z a)) 3)) (/ t (- z a)))
0.1b
(pow (/ z (- z a)) 3)
0.8b
(* y (- (cbrt (pow (/ z (- z a)) 3)) (/ t (- z a))))
11.9b
(cbrt (pow (/ z (- z a)) 3))

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
144×add-sqr-sqrt
82×times-frac
72×cbrt-prod *-un-lft-identity
50×unpow-prod-down cube-prod
44×add-cube-cbrt
40×difference-of-squares
18×associate-*r*
14×distribute-lft-out--
9×add-exp-log add-cbrt-cube
8×associate-/r/
7×pow1
6×flip3-- flip-- add-log-exp sqr-pow
4×cube-div div-inv
3×sub-neg pow-unpow cbrt-div associate-*r/ associate-*l*
2×distribute-rgt-in cube-mult distribute-lft-in unpow3 pow-exp frac-sub rem-cube-cbrt
1×cbrt-undiv pow-to-exp pow-pow pow1/3 diff-log div-exp pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 188
Calls
4 calls:
133.0ms
(- (cbrt (pow (/ z (- z a)) 3)) (/ t (- z a)))
8.0ms
(pow (/ z (- z a)) 3)
338.0ms
(* y (- (cbrt (pow (/ z (- z a)) 3)) (/ t (- z a))))
9.0ms
(cbrt (pow (/ z (- z a)) 3))

series449.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(- (cbrt (pow (/ z (- z a)) 3)) (/ t (- z a)))
81.0ms
(pow (/ z (- z a)) 3)
167.0ms
(* y (- (cbrt (pow (/ z (- z a)) 3)) (/ t (- z a))))
63.0ms
(cbrt (pow (/ z (- z a)) 3))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06411591
126941420
250011406

prune389.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

11.7b
(* (/ y (- z a)) (- z t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×associate-*l*
19×*-un-lft-identity
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×distribute-lft-out-- difference-of-squares
3×pow1 flip3-- flip--
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
26.0ms
(* (/ y (- z a)) (- z t))

series111.0ms

Counts
1 → 3
Calls
1 calls:
111.0ms
(* (/ y (- z a)) (- z t))

simplify92.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0279309
11123281
24821281
35003281

prune114.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169
1169

end0.0ms

sample720.0ms

Algorithm
intervals
Results
456.0ms8718×body80valid
0.0ms1×body2560valid