Details

Time bar (total: 4.3s)

sample22.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.3b
(* y (/ (- z t) (- z a)))

rewrite79.0ms

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:
25.0ms
(/ (- z t) (- z a))
50.0ms
(* y (/ (- z t) (- z a)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- z t) (- z a))
55.0ms
(* y (/ (- z t) (- z a)))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune275.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z a))
4.0ms
(cbrt (- z a))
4.0ms
(cbrt (- z a))

series534.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (- z t))
128.0ms
(cbrt (- z a))
131.0ms
(cbrt (- z a))
144.0ms
(cbrt (- z a))

simplify157.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (151.0ms)

IterNodesCost
0243428
1523408
21374396
34708375
45001367

prune294.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.4b
(/ 1 (/ (- z a) (- z t)))
2.3b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
22.0ms
(/ (- z a) (- z t))
27.0ms
(/ 1 (/ (- z a) (- z t)))
74.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series218.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- z a) (- z t))
81.0ms
(/ 1 (/ (- z a) (- z t)))
99.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify105.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08822718
145142433
250012147

prune619.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
2.1b
(/ y (/ (- z a) (- z t)))

rewrite63.0ms

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:
25.0ms
(/ (- z a) (- z t))
25.0ms
(/ y (/ (- z a) (- z t)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (- z a) (- z t))
103.0ms
(/ y (/ (- z a) (- z t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06301780
128431729
250031726

prune524.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes99.0ms

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
0176
1176

end0.0ms

sample646.0ms

Algorithm
intervals
Results
259.0ms8752×body80valid