Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1364
2594
31034
41734
52364
62654
73114
83754
95114
106744
1111794
1213004
1313084
1413084

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 1.4b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.7b
(* y (/ (- z t) (- a t)))

rewrite27.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
9.0ms
(/ (- z t) (- a t))
14.0ms
(* y (/ (- z t) (- a t)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- a t))
75.0ms
(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0356664
11414623
25001623

prune262.0ms

Filtered
112 candidates to 75 candidates (67.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1066112
Fresh000
Picked011
Done000
Total1067113

Merged error: 0.0b

Counts
113 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.7b
(* y (* (- z t) (/ 1 (- a t))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 125
Calls
3 calls:
6.0ms
(/ 1 (- a t))
14.0ms
(* (- z t) (/ 1 (- a t)))
13.0ms
(* y (* (- z t) (/ 1 (- a t))))

series158.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a t))
54.0ms
(* (- z t) (/ 1 (- a t)))
68.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify54.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0391700
11784591
25003549

prune283.0ms

Filtered
134 candidates to 80 candidates (59.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1331134
Fresh235
Picked011
Done011
Total1356141

Merged error: 0.0b

Counts
141 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
1.7b
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
70×add-sqr-sqrt
60×*-un-lft-identity
51×associate-*r*
41×cbrt-prod
28×add-cube-cbrt
22×add-exp-log
16×add-cbrt-cube distribute-lft-out-- difference-of-squares
8×cbrt-div
7×prod-exp cbrt-unprod
6×pow1 cbrt-undiv div-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp unswap-sqr
3×pow1/3 associate-*l* associate-/r/
2×div-inv
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 131
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
28.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- z t))
151.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))
68.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05991304
127431192
250011153

prune475.0ms

Filtered
143 candidates to 111 candidates (77.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1421143
Fresh123
Picked011
Done022
Total1436149

Merged error: 0b

Counts
149 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.4b
(/ (* y (- z t)) (- a t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
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 expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
7.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) (- a t))

series108.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* y (- z t))
68.0ms
(/ (* y (- z t)) (- a t))

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0346543
11626380
25001380

prune151.0ms

Filtered
83 candidates to 45 candidates (54.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New81283
Fresh202
Picked101
Done033
Total84589

Merged error: 0b

Counts
89 → 5

regimes214.0ms

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
0125
1125

end0.0ms

sample512.0ms

Algorithm
intervals
Results
259.0ms8733×body80valid